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Pseudo Differential Operators On Manifolds With Singularities
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Book Synopsis Pseudo-Differential Operators on Manifolds with Singularities by : B.-W. Schulze
Download or read book Pseudo-Differential Operators on Manifolds with Singularities written by B.-W. Schulze and published by Elsevier. This book was released on 1991-10-17 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of differential equations in domains and on manifolds with singularities belongs to the main streams of recent developments in applied and pure mathematics. The applications and concrete models from engineering and physics are often classical but the modern structure calculus was only possible since the achievements of pseudo-differential operators. This led to deep connections with index theory, topology and mathematical physics. The present book is devoted to elliptic partial differential equations in the framework of pseudo-differential operators. The first chapter contains the Mellin pseudo-differential calculus on R+ and the functional analysis of weighted Sobolev spaces with discrete and continuous asymptotics. Chapter 2 is devoted to the analogous theory on manifolds with conical singularities, Chapter 3 to manifolds with edges. Employed are pseudo-differential operators along edges with cone-operator-valued symbols.
Book Synopsis Pseudo-Differential Operators, Singularities, Applications by : Iouri Egorov
Download or read book Pseudo-Differential Operators, Singularities, Applications written by Iouri Egorov and published by Birkhäuser. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of lecture notes based on the DMV seminar "Pseudo- Differential Operators, Singularities, Applications" held by the authors in Reisenburg-Günzburg, 12–19 July 1992. The modern theory of elliptic boundary value problems in domains having conical or edge singularities on the boundary as well as the classical theory of elliptic boundary value problems and the original Kondratiev theory are presented. This material forms the foundation for the second part of the book which contains a new construction of pseudo-differential operators with symbols corresponding to the singularities of the boundary of different dimensions. This allows in particular to obtain complete asymptotic expansions of solutions near these singularities.
Book Synopsis Boundary Value Problems and Singular Pseudo-Differential Operators by : Bert-Wolfgang Schulze
Download or read book Boundary Value Problems and Singular Pseudo-Differential Operators written by Bert-Wolfgang Schulze and published by John Wiley & Sons. This book was released on 1998-02-04 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this volume, Wolfgang Schulze presents a study of pseudo-differential operators on singular spaces, and also of developments of the concept of ellipticity in operator algebra.
Book Synopsis Advances in Pseudo-Differential Operators by : Ryuichi Ashino
Download or read book Advances in Pseudo-Differential Operators written by Ryuichi Ashino and published by Birkhäuser. This book was released on 2012-12-06 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of the plenary lectures and invited talks in the special session on pseudo-differential operators given at the Fourth Congress of the International Society for Analysis, Applications and Computation (ISAAC) held at York University in Toronto, August 11-16, 2003. The theme is to look at pseudo-differential operators in a very general sense and to report recent advances in a broad spectrum of topics, such as pde, quantization, filters and localization operators, modulation spaces, and numerical experiments in wavelet transforms and orthonormal wavelet bases.
Book Synopsis Singular Ordinary Differential Operators and Pseudodifferential Equations by : Johannes Elschner
Download or read book Singular Ordinary Differential Operators and Pseudodifferential Equations written by Johannes Elschner and published by Springer. This book was released on 2006-11-14 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Pseudo-Differential Operators: Groups, Geometry and Applications by : M. W. Wong
Download or read book Pseudo-Differential Operators: Groups, Geometry and Applications written by M. W. Wong and published by Birkhäuser. This book was released on 2017-01-20 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of papers inspired by the special session on pseudo-differential operators at the 10th ISAAC Congress held at the University of Macau, August 3-8, 2015 and the mini-symposium on pseudo-differential operators in industries and technologies at the 8th ICIAM held at the National Convention Center in Beijing, August 10-14, 2015. The twelve papers included present cutting-edge trends in pseudo-differential operators and applications from the perspectives of Lie groups (Chapters 1-2), geometry (Chapters 3-5) and applications (Chapters 6-12). Many contributions cover applications in probability, differential equations and time-frequency analysis. A focus on the synergies of pseudo-differential operators with applications, especially real-life applications, enhances understanding of the analysis and the usefulness of these operators.
Book Synopsis Pseudo-differential Operators by : Luigi Rodino
Download or read book Pseudo-differential Operators written by Luigi Rodino and published by American Mathematical Soc.. This book was released on 2007-11-21 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on lectures given at the workshop on pseudo-differential operators held at the Fields Institute from December 11, 2006 to December 15, 2006. The two main themes of the workshop and hence this volume are partial differential equations and time-frequency analysis. The contents of this volume consist of five mini-courses for graduate students and post-docs, and fifteen papers on related topics. Of particular interest in this volume are the mathematical underpinnings, applications and ramifications of the relatively new Stockwell transform, which is a hybrid of the Gabor transform and the wavelet transform. The twenty papers in this volume reflect modern trends in the development of pseudo-differential operators.
Book Synopsis Algebras of Pseudodifferential Operators Near Edge and Corner Singularities by : Christoph Dorschfeldt
Download or read book Algebras of Pseudodifferential Operators Near Edge and Corner Singularities written by Christoph Dorschfeldt and published by Wiley-VCH. This book was released on 1998-09-16 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph deals with analysis on manifolds with singularities. More precisely, it presents pseudodifferential operators near edges and corners. In particular, it considers parameter-dependent edge operators and edge operators of Mellin type. The investigation of such operator families is necessary to construct operator algebras on manifolds with higher singularities. A self-contained exposition in Mellin techniques and pseudodifferential operators with operator-valued symbols is given. The algebra of parameter-dependent edge operators is constructed. Finally, Mellin operators near corner singularities are investigated. The focus is on elliptic theory. Elliptic operators on manifolds with edges are constructed as well as parametrices to elliptic elements. The equivalence of ellipticity and the Fredholm property is shown. Close to corner singularities, edge operators of Mellin type are defined, a pseudodifferential calculus is presented and parametrices are constructed. Asymptotics are treated using analytic functions and the concept of continuous asymptotic types.
Book Synopsis New Developments in Pseudo-Differential Operators by : Luigi Rodino
Download or read book New Developments in Pseudo-Differential Operators written by Luigi Rodino and published by Springer Science & Business Media. This book was released on 2009-01-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held on August 13-18, 2007, and invited papers by experts in the field.
Book Synopsis Analysis of Pseudo-Differential Operators by : Shahla Molahajloo
Download or read book Analysis of Pseudo-Differential Operators written by Shahla Molahajloo and published by Springer. This book was released on 2019-05-08 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, like its predecessors, is based on the special session on pseudo-differential operators, one of the many special sessions at the 11th ISAAC Congress, held at Linnaeus University in Sweden on August 14-18, 2017. It includes research papers presented at the session and invited papers by experts in fields that involve pseudo-differential operators. The first four chapters focus on the functional analysis of pseudo-differential operators on a spectrum of settings from Z to Rn to compact groups. Chapters 5 and 6 discuss operators on Lie groups and manifolds with edge, while the following two chapters cover topics related to probabilities. The final chapters then address topics in differential equations.
Book Synopsis Modern Problems in Applied Analysis by : Piotr Drygaś
Download or read book Modern Problems in Applied Analysis written by Piotr Drygaś and published by Birkhäuser. This book was released on 2018-03-21 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference “Boundary Value Problems, Functional Equations and Applications” (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions presented here develop a technique related to the scope of the workshop and touching on the fields of differential and functional equations, complex and real analysis, with a special emphasis on topics related to boundary value problems. Further, the papers discuss various applications of the technique, mainly in solid mechanics (crack propagation, conductivity of composite materials), biomechanics (viscoelastic behavior of the periodontal ligament, modeling of swarms) and fluid dynamics (Stokes and Brinkman type flows, Hele-Shaw type flows). The book is addressed to all readers who are interested in the development and application of innovative research results that can help solve theoretical and real-world problems.
Book Synopsis Pseudo-Differential Operators: Analysis, Applications and Computations by : Luigi Rodino
Download or read book Pseudo-Differential Operators: Analysis, Applications and Computations written by Luigi Rodino and published by Springer Science & Business Media. This book was released on 2011-03-14 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of eighteen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at Imperial College London on July 13-18, 2009. Featured in this volume are the analysis, applications and computations of pseudo-differential operators in mathematics, physics and signal analysis. This volume is a useful complement to the volumes “Advances in Pseudo-Differential Operators”, “Pseudo-Differential Operators and Related Topics”, “Modern Trends in Pseudo-Differential Operators”, “New Developments in Pseudo-Differential Operators” and “Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations” published in the same series in, respectively, 2004, 2006, 2007, 2009 and 2010.
Book Synopsis Solvable Algebras of Pseudodifferential Operators by : Boris Plamenevskii
Download or read book Solvable Algebras of Pseudodifferential Operators written by Boris Plamenevskii and published by Springer Nature. This book was released on 2023-05-04 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents original research results on pseudodifferential operators. C*-algebras generated by pseudodifferential operators with piecewise smooth symbols on a smooth manifold are considered. For each algebra, all the equivalence classes of irreducible representations are listed; as a consequence, a criterion for a pseudodifferential operator to be Fredholm is stated, the topology on the spectrum is described, and a solving series is constructed. Pseudodifferential operators on manifolds with edges are introduced, their properties are considered in details, and an algebra generated by the operators is studied. An introductory chapter includes all necessary preliminaries from the theory of pseudodifferential operators and C*-algebras.
Book Synopsis Pseudo-Differential Operators, Generalized Functions and Asymptotics by : Shahla Molahajloo
Download or read book Pseudo-Differential Operators, Generalized Functions and Asymptotics written by Shahla Molahajloo and published by Springer Science & Business Media. This book was released on 2013-02-26 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of twenty peer-reviewed papers from the special session on pseudodifferential operators and the special session on generalized functions and asymptotics at the Eighth Congress of ISAAC held at the Peoples’ Friendship University of Russia in Moscow on August 22‒27, 2011. The category of papers on pseudo-differential operators contains such topics as elliptic operators assigned to diffeomorphisms of smooth manifolds, analysis on singular manifolds with edges, heat kernels and Green functions of sub-Laplacians on the Heisenberg group and Lie groups with more complexities than but closely related to the Heisenberg group, Lp-boundedness of pseudo-differential operators on the torus, and pseudo-differential operators related to time-frequency analysis. The second group of papers contains various classes of distributions and algebras of generalized functions with applications in linear and nonlinear differential equations, initial value problems and boundary value problems, stochastic and Malliavin-type differential equations. This second group of papers are related to the third collection of papers via the setting of Colombeau-type spaces and algebras in which microlocal analysis is developed by means of techniques in asymptotics. The volume contains the synergies of the three areas treated and is a useful complement to volumes 155, 164, 172, 189, 205 and 213 published in the same series in, respectively, 2004, 2006, 2007, 2009, 2010 and 2011.
Book Synopsis Elliptic Theory on Singular Manifolds by : Vladimir E. Nazaikinskii
Download or read book Elliptic Theory on Singular Manifolds written by Vladimir E. Nazaikinskii and published by CRC Press. This book was released on 2005-08-12 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis and topology of elliptic operators on manifolds with singularities are much more complicated than in the smooth case and require completely new mathematical notions and theories. While there has recently been much progress in the field, many of these results have remained scattered in journals and preprints. Starting from an ele
Book Synopsis Partial Differential Operators and Mathematical Physics by : Michael Demuth
Download or read book Partial Differential Operators and Mathematical Physics written by Michael Demuth and published by Birkhäuser. This book was released on 2012-12-06 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains the contributions to the conference on "Partial Differential Equations" held in Holzhau (Germany) in July 1994, where outstanding specialists from analysis, geometry and mathematical physics reviewed recent progress and new interactions in these areas. Topics of special interest at the conference and which now form the core of this volume are hyperbolic operators, spectral theory for elliptic operators, eta-invariant, singular configura- tions and asymptotics, Bergman-kernel, attractors of non-autonomous evolution equations, pseudo-differential boundary value problems, Mellin pseudo- differential operators, approximation and stability problems for elliptic operators, and operator determinants. In spectral theory adiabatic and semiclassical limits, Dirichlet decoupling and domain perturbations, capacity of obstacles, limiting absorption problems, N-body scattering, and number of bound states are considered. Schrödinger operators are studied with magnetic fields, with random and with many-body potentials, and for nonlinear problems. In semigroup theory the Feller property, errors for product formulas, fractional powers of generators, and functional integration for relativistic semigroups are analyzed.
Book Synopsis Pseudo-Differential Operators by : Heinz O. Cordes
Download or read book Pseudo-Differential Operators written by Heinz O. Cordes and published by Springer. This book was released on 2006-11-15 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt:
