Frontiers In Differential Geometry, Partial Differential Equations And Mathematical Physics: In Memory Of Gu Chaohao

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Publisher : World Scientific
ISBN 13 : 981457810X
Total Pages : 371 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Frontiers In Differential Geometry, Partial Differential Equations And Mathematical Physics: In Memory Of Gu Chaohao by : Mo-lin Ge

Download or read book Frontiers In Differential Geometry, Partial Differential Equations And Mathematical Physics: In Memory Of Gu Chaohao written by Mo-lin Ge and published by World Scientific. This book was released on 2014-03-18 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers in memory of Gu Chaohao on the subjects of Differential Geometry, Partial Differential Equations and Mathematical Physics that Gu Chaohao made great contributions to with all his intelligence during his lifetime.All contributors to this book are close friends, colleagues and students of Gu Chaohao. They are all excellent experts among whom there are 9 members of the Chinese Academy of Sciences. Therefore this book will provide some important information on the frontiers of the related subjects.

Seminar on Differential Geometry

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Publisher : Princeton University Press
ISBN 13 : 0691082960
Total Pages : 720 pages
Book Rating : 4.6/5 (91 download)

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Book Synopsis Seminar on Differential Geometry by : Shing-Tung Yau

Download or read book Seminar on Differential Geometry written by Shing-Tung Yau and published by Princeton University Press. This book was released on 1982-03-21 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers constitutes a wide-ranging survey of recent developments in differential geometry and its interactions with other fields, especially partial differential equations and mathematical physics. This area of mathematics was the subject of a special program at the Institute for Advanced Study in Princeton during the academic year 1979-1980; the papers in this volume were contributed by the speakers in the sequence of seminars organized by Shing-Tung Yau for this program. Both survey articles and articles presenting new results are included. The articles on differential geometry and partial differential equations include a general survey article by the editor on the relationship of the two fields and more specialized articles on topics including harmonic mappings, isoperimetric and Poincaré inequalities, metrics with specified curvature properties, the Monge-Arnpere equation, L2 harmonic forms and cohomology, manifolds of positive curvature, isometric embedding, and Kraumlhler manifolds and metrics. The articles on differential geometry and mathematical physics cover such topics as renormalization, instantons, gauge fields and the Yang-Mills equation, nonlinear evolution equations, incompleteness of space-times, black holes, and quantum gravity. A feature of special interest is the inclusion of a list of more than one hundred unsolved research problems compiled by the editor with comments and bibliographical information.

Differential Geometry: Partial Differential Equations on Manifolds

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Publisher : American Mathematical Soc.
ISBN 13 : 082181494X
Total Pages : 585 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Differential Geometry: Partial Differential Equations on Manifolds by : Robert Everist Greene

Download or read book Differential Geometry: Partial Differential Equations on Manifolds written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 1993 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Part 1 begins with a problem list by S.T. Yau, successor to his 1980 list ( Sem

Differential Equations on Manifolds and Mathematical Physics

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Publisher : Springer Nature
ISBN 13 : 3030373266
Total Pages : 349 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Differential Equations on Manifolds and Mathematical Physics by : Vladimir M. Manuilov

Download or read book Differential Equations on Manifolds and Mathematical Physics written by Vladimir M. Manuilov and published by Springer Nature. This book was released on 2022-01-21 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a volume originating from the Conference on Partial Differential Equations and Applications, which was held in Moscow in November 2018 in memory of professor Boris Sternin and attracted more than a hundred participants from eighteen countries. The conference was mainly dedicated to partial differential equations on manifolds and their applications in mathematical physics, geometry, topology, and complex analysis. The volume contains selected contributions by leading experts in these fields and presents the current state of the art in several areas of PDE. It will be of interest to researchers and graduate students specializing in partial differential equations, mathematical physics, topology, geometry, and their applications. The readers will benefit from the interplay between these various areas of mathematics.

Differential Geometry, Differential Equations, and Mathematical Physics

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Publisher : Springer Nature
ISBN 13 : 3030632539
Total Pages : 231 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Differential Geometry, Differential Equations, and Mathematical Physics by : Maria Ulan

Download or read book Differential Geometry, Differential Equations, and Mathematical Physics written by Maria Ulan and published by Springer Nature. This book was released on 2021-02-12 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents lectures given at the Wisła 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place from August 19 - 29th, 2019 in Wisła, Poland, and was organized by the Baltic Institute of Mathematics. The lectures were dedicated to symplectic and Poisson geometry, tractor calculus, and the integration of ordinary differential equations, and are included here as lecture notes comprising the first three chapters. Following this, chapters combine theoretical and applied perspectives to explore topics at the intersection of differential geometry, differential equations, and mathematical physics. Specific topics covered include: Parabolic geometry Geometric methods for solving PDEs in physics, mathematical biology, and mathematical finance Darcy and Euler flows of real gases Differential invariants for fluid and gas flow Differential Geometry, Differential Equations, and Mathematical Physics is ideal for graduate students and researchers working in these areas. A basic understanding of differential geometry is assumed.

Geometry and Nonlinear Partial Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821851357
Total Pages : 166 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Geometry and Nonlinear Partial Differential Equations by : Vladimir Oliker

Download or read book Geometry and Nonlinear Partial Differential Equations written by Vladimir Oliker and published by American Mathematical Soc.. This book was released on 1992 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of an AMS Special Session on Geometry, Physics, and Nonlinear PDEs, The conference brought together specialists in Monge-Ampere equations, prescribed curvature problems, mean curvature, harmonic maps, evolution with curvature-dependent speed, isospectral manifolds, and general relativity. An excellent overview of the frontiers of research in these areas.

Differential Geometry: Geometry in Mathematical Physics and Related Topics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821814958
Total Pages : 681 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Differential Geometry: Geometry in Mathematical Physics and Related Topics by : Robert Everist Greene

Download or read book Differential Geometry: Geometry in Mathematical Physics and Related Topics written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 1993 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Among the subjects of Part 2 are gauge theory, symplectic geometry, complex ge

Differential Geometry

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Publisher :
ISBN 13 : 9780821814963
Total Pages : 555 pages
Book Rating : 4.8/5 (149 download)

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Book Synopsis Differential Geometry by : Robert Everist Greene

Download or read book Differential Geometry written by Robert Everist Greene and published by . This book was released on 1993 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Partial Differential Equations on Manifolds

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Publisher :
ISBN 13 :
Total Pages : 560 pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Partial Differential Equations on Manifolds by : Robert Everist Greene

Download or read book Partial Differential Equations on Manifolds written by Robert Everist Greene and published by . This book was released on 1993 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Partial Differential Relations

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Publisher : Springer Science & Business Media
ISBN 13 : 3662022672
Total Pages : 372 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Partial Differential Relations by : Misha Gromov

Download or read book Partial Differential Relations written by Misha Gromov and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical theory of partial differential equations is rooted in physics, where equations (are assumed to) describe the laws of nature. Law abiding functions, which satisfy such an equation, are very rare in the space of all admissible functions (regardless of a particular topology in a function space). Moreover, some additional (like initial or boundary) conditions often insure the uniqueness of solutions. The existence of these is usually established with some apriori estimates which locate a possible solution in a given function space. We deal in this book with a completely different class of partial differential equations (and more general relations) which arise in differential geometry rather than in physics. Our equations are, for the most part, undetermined (or, at least, behave like those) and their solutions are rather dense in spaces of functions. We solve and classify solutions of these equations by means of direct (and not so direct) geometric constructions. Our exposition is elementary and the proofs of the basic results are selfcontained. However, there is a number of examples and exercises (of variable difficulty), where the treatment of a particular equation requires a certain knowledge of pertinent facts in the surrounding field. The techniques we employ, though quite general, do not cover all geometrically interesting equations. The border of the unexplored territory is marked by a number of open questions throughout the book.

Geometry and Nonlinear Partial Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821832948
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Geometry and Nonlinear Partial Differential Equations by : Shing-Tung Yau

Download or read book Geometry and Nonlinear Partial Differential Equations written by Shing-Tung Yau and published by American Mathematical Soc.. This book was released on 2002 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of a conference on geometry and nonlinear partial differential equations dedicated to Professor Buqing Su in honor of his one-hundredth birthday. It offers a look at current research by Chinese mathematicians in differential geometry and geometric areas of mathematical physics. It is suitable for advanced graduate students and research mathematicians interested in geometry, topology, differential equations, and mathematical physics.

Lecture Notes On Geometrical Aspects Of Partial Differential Equations

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Publisher : World Scientific
ISBN 13 : 9814513997
Total Pages : 372 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Lecture Notes On Geometrical Aspects Of Partial Differential Equations by : V V Zharinov

Download or read book Lecture Notes On Geometrical Aspects Of Partial Differential Equations written by V V Zharinov and published by World Scientific. This book was released on 1992-03-26 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the properties of nonlinear systems of PDE with geometrical origin and the natural description in the language of infinite-dimensional differential geometry. The treatment is very informal and the theory is illustrated by various examples from mathematical physics. All necessary information about the infinite-dimensional geometry is given in the text.

Partial Differential Equations arising from Physics and Geometry

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Publisher : Cambridge University Press
ISBN 13 : 1108431631
Total Pages : 471 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Partial Differential Equations arising from Physics and Geometry by : Mohamed Ben Ayed

Download or read book Partial Differential Equations arising from Physics and Geometry written by Mohamed Ben Ayed and published by Cambridge University Press. This book was released on 2019-05-02 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.

Topics in Contemporary Differential Geometry, Complex Analysis and Mathematical Physics

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Publisher : World Scientific
ISBN 13 : 9812707905
Total Pages : 350 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Topics in Contemporary Differential Geometry, Complex Analysis and Mathematical Physics by : Stancho Dimiev

Download or read book Topics in Contemporary Differential Geometry, Complex Analysis and Mathematical Physics written by Stancho Dimiev and published by World Scientific. This book was released on 2007 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the contributions by the participants in the eight of a series workshops in complex analysis, differential geometry and mathematical physics and related areas.Active specialists in mathematical physics contribute to the volume, providing not only significant information for researchers in the area but also interesting mathematics for non-specialists and a broader audience. The contributions treat topics including differential geometry, partial differential equations, integrable systems and mathematical physics.

Transformations of Manifolds and Applications to Differential Equations

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Publisher : Chapman & Hall/CRC
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Transformations of Manifolds and Applications to Differential Equations by : Keti Tenenblat

Download or read book Transformations of Manifolds and Applications to Differential Equations written by Keti Tenenblat and published by Chapman & Hall/CRC. This book was released on 1998 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interaction between differential geometry and partial differential equations has been studied since the last century. This relationship is based on the fact that most of the local properties of manifolds are expressed in terms of partial differential equations. The correspondence between certain classes of manifolds and the associated differential equations can be useful in two ways. From our knowledge about the geometry of the manifolds we can obtain solutions to the equations. In particular it is important to study transformations of manifolds which preserve a geometric property, since the analytic interpretation of these transformations will provide mappings between the corresponding differential equations. Conversely, we can obtain geometric properties of the manifolds or even prove the non existence of certain geometric structures on manifolds from our knowledge of the differential equation. This kind of interaction between differential geometry and differential equations is the general theme of the book. The author focuses on the role played by differential geometry in the study of differential equations, combining the geometric and analytic aspects of the theory, not only in the classical examples but also in results obtained since 1980, on integrable systems with an arbitrary number of independent variables. The book will be of interest to graduate students, researchers and mathematicians working in differential geometry, differential equations and mathematical physics.

Partial Differential Equations III

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Publisher : Springer
ISBN 13 : 9783031339271
Total Pages : 0 pages
Book Rating : 4.3/5 (392 download)

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Book Synopsis Partial Differential Equations III by : Michael E. Taylor

Download or read book Partial Differential Equations III written by Michael E. Taylor and published by Springer. This book was released on 2023-08-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L^p Sobolev spaces, Holder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis. The third edition further expands the material by incorporating new theorems and applications throughout the book, and by deepening connections and relating concepts across chapters. It includes new sections on rigid body motion, on probabilistic results related to random walks, on aspects of operator theory related to quantum mechanics, on overdetermined systems, and on the Euler equation for incompressible fluids. The appendices have also been updated with additional results, ranging from weak convergence of measures to the curvature of Kahler manifolds. Michael E. Taylor is a Professor of Mathematics at the University of North Carolina, Chapel Hill, NC. Review of first edition: “These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted.” (Peter Lax, SIAM review, June 1998)

Partial Differential Equations and Mathematical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817643096
Total Pages : 260 pages
Book Rating : 4.6/5 (43 download)

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Book Synopsis Partial Differential Equations and Mathematical Physics by : Kunihiko Kajitani

Download or read book Partial Differential Equations and Mathematical Physics written by Kunihiko Kajitani and published by Springer Science & Business Media. This book was released on 2002-12-13 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 17 invited research articles in this volume, all written by leading experts in their respective fields, are dedicated to the great French mathematician Jean Leray. A wide range of topics with significant new results---detailed proofs---are presented in the areas of partial differential equations, complex analysis, and mathematical physics. Key subjects are: * Treated from the mathematical physics viewpoint: nonlinear stability of an expanding universe, the compressible Euler equation, spin groups and the Leray--Maslov index, * Linked to the Cauchy problem: an intermediate case between effective hyperbolicity and the Levi condition, global Cauchy--Kowalewski theorem in some Gevrey classes, the analytic continuation of the solution, necessary conditions for hyperbolic systems, well posedness in the Gevrey class, uniformly diagonalizable systems and reduced dimension, and monodromy of ramified Cauchy problem. Additional articles examine results on: * Local solvability for a system of partial differential operators, * The hypoellipticity of second order operators, * Differential forms and Hodge theory on analytic spaces, * Subelliptic operators and sub- Riemannian geometry. Contributors: V. Ancona, R. Beals, A. Bove, R. Camales, Y. Choquet- Bruhat, F. Colombini, M. De Gosson, S. De Gosson, M. Di Flaviano, B. Gaveau, D. Gourdin, P. Greiner, Y. Hamada, K. Kajitani, M. Mechab, K. Mizohata, V. Moncrief, N. Nakazawa, T. Nishitani, Y. Ohya, T. Okaji, S. Ouchi, S. Spagnolo, J. Vaillant, C. Wagschal, S. Wakabayashi The book is suitable as a reference text for graduate students and active researchers.