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Linear Partial Differential Operators In Gevrey Spaces
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Book Synopsis Linear Partial Differential Operators In Gevrey Spaces by : Luigi Rodino
Download or read book Linear Partial Differential Operators In Gevrey Spaces written by Luigi Rodino and published by World Scientific. This book was released on 1993-03-30 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to new and classical results of the theory of linear partial differential operators in Gevrey spaces. The “microlocal approach” is adopted, by using pseudo-differential operators, wave front sets and Fourier integral operators.Basic results for Schwartz-distributions, c∞ and analytic classes are also included, concerning hypoellipticity, solvability and propagation of singularities.Also included is a self-contained exposition of the calculus of the pseudo-differential operators of infinite order.
Book Synopsis Linear Partial Differential Operators in Gevrey Spaces by : Luigi Rodino
Download or read book Linear Partial Differential Operators in Gevrey Spaces written by Luigi Rodino and published by World Scientific. This book was released on 1993 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to new and classical results of the theory of linear partial differential operators in Gevrey spaces. The ?microlocal approach? is adopted, by using pseudo-differential operators, wave front sets and Fourier integral operators.Basic results for Schwartz-distributions, cì and analytic classes are also included, concerning hypoellipticity, solvability and propagation of singularities.Also included is a self-contained exposition of the calculus of the pseudo-differential operators of infinite order.
Book Synopsis Linear Partial Differential Operators by : Lars Hörmander
Download or read book Linear Partial Differential Operators written by Lars Hörmander and published by . This book was released on 1969 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Partial Differential Equations by : Todor V. Gramchev
Download or read book Partial Differential Equations written by Todor V. Gramchev and published by Wiley-VCH. This book was released on 2000-02-22 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The applications of methods from microlocal analysis for PDE have been a fast developing area during the last years. The authors, both are well known in the community, publish for the first time some of their research results in a summarized form. The essential point of the approach is the use of the various types of approximate (asymptotic) solutions in the study of differential equations in the smooth and the Gevrey spaces. In this volume, the authors deal with the following themes: Microlocal properties of pseudodifferential operators with multiple characteristics of involutive type in the framework of the Sobolev spaces; Abstract schemes for constructing approximate solutions to linear partial differential equations with characteristics of constant multiplicity m greater than or equal 2 in the framework of Gevrey spaces; Local solvability, hypoellipticity and singular solutions in Gevrey spaces; Global Gevrey solvability on the torus for linear partial differential equations; Applications of asymptotic methods for local (non)solvability for quasihomogeneous operators; Applications of Airy asymptotic solutions to degenerate oblique derivative problems for second order strictly hyperbolic equations; Approximate Gevrey normal forms of analytic involutions and analytic glancing hypersurfaces with applications for effective stability estimates for billiard ball maps.
Book Synopsis On Solvability of Linear Partial Differential Operators in Local Spaces [BETA][sub P, K][sup Loc](G) by : Jouko Tervo
Download or read book On Solvability of Linear Partial Differential Operators in Local Spaces [BETA][sub P, K][sup Loc](G) written by Jouko Tervo and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential-Operator Equations by : Yakov Yakubov
Download or read book Differential-Operator Equations written by Yakov Yakubov and published by CRC Press. This book was released on 1999-11-24 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of differential-operator equations is one of two modern theories for the study of both ordinary and partial differential equations, with numerous applications in mechanics and theoretical physics. Although a number of published works address differential-operator equations of the first and second orders, to date none offer a treatment of the higher orders. In Differential-Operator Equations, the authors present a systematic treatment of the theory of differential-operator equations of higher order, with applications to partial differential equations. They construct a theory that allows application to both regular and irregular differential problems. In particular, they study problems that cannot be solved by various known methods and irregular problems not addressed in existing monographs. These include Birkhoff-irregularity, non-local boundary value conditions, and non-smoothness of the boundary of the domains. Among this volume's other points of interest are: The Abel basis property of a system of root functions Irregular boundary value problems The theory of hyperbolic equations in Gevrey space The theory of boundary value problems for elliptic differential equations with a parameter
Book Synopsis Linear Differential Operators by : Cornelius Lanczos
Download or read book Linear Differential Operators written by Cornelius Lanczos and published by Courier Corporation. This book was released on 1997-01-01 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basic and characteristic properties of linear differential operators are explored in this graduate-level text. No specific knowledge beyond the usual introductory courses is necessary. Includes 350 problems and solution.
Book Synopsis The Analysis of Linear Partial Differential Operators IV by : Lars Hörmander
Download or read book The Analysis of Linear Partial Differential Operators IV written by Lars Hörmander and published by Springer Science & Business Media. This book was released on 2009-04-28 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "Volumes III and IV complete L. Hörmander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades.....It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987 "This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. Brüning in Zentralblatt MATH, 1987 Honours awarded to Lars Hörmander: Fields Medal 1962, Speaker at International Congress 1970, Wolf Prize 1988, AMS Steele Prize 2006
Book Synopsis On Solvability of Linear Partial Differential Operators in Local Spaces $ B {loc}_ {p,k}(G) $ by : J. Tervo
Download or read book On Solvability of Linear Partial Differential Operators in Local Spaces $ B {loc}_ {p,k}(G) $ written by J. Tervo and published by . This book was released on 1987 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 The Analysis of Linear Partial Differential Operators II by : Lars Hörmander
Download or read book The Analysis of Linear Partial Differential Operators II written by Lars Hörmander and published by Springer. This book was released on 2005-12-12 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Author received the 1962 Fields Medal Author received the 1988 Wolf Prize (honoring achievemnets of a lifetime) Author is leading expert in partial differential equations
Book Synopsis Partial Differential Equations And Their Applications - Proceedings Of The Conference by : Luigi Rodino
Download or read book Partial Differential Equations And Their Applications - Proceedings Of The Conference written by Luigi Rodino and published by World Scientific. This book was released on 1999-11-26 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reports the recent progress in linear and nonlinear partial differential equations, microlocal analysis, singular partial differential operators, spectral analysis and hyperfunction theory.
Book Synopsis Phase Space Analysis of Partial Differential Equations by : Antonio Bove
Download or read book Phase Space Analysis of Partial Differential Equations written by Antonio Bove and published by Springer Science & Business Media. This book was released on 2007-12-28 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers phase space analysis methods, including microlocal analysis, and their applications to physics Treats the linear and nonnlinear aspects of the theory of PDEs Original articles are self-contained with full proofs; survey articles give a quick and direct introduction to selected topics evolving at a fast pace Excellent reference and resource for grad students and researchers in PDEs and related fields
Book Synopsis Perturbation Theory by : Giuseppe Gaeta
Download or read book Perturbation Theory written by Giuseppe Gaeta and published by Springer Nature. This book was released on 2022-12-16 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, is devoted to the fundamentals of Perturbation Theory (PT) as well as key applications areas such as Classical and Quantum Mechanics, Celestial Mechanics, and Molecular Dynamics. Less traditional fields of application, such as Biological Evolution, are also discussed. Leading scientists in each area of the field provide a comprehensive picture of the landscape and the state of the art, with the specific goal of combining mathematical rigor, explicit computational methods, and relevance to concrete applications. New to this edition are chapters on Water Waves, Rogue Waves, Multiple Scales methods, legged locomotion, Condensed Matter among others, while all other contributions have been revised and updated. Coverage includes the theory of (Poincare’-Birkhoff) Normal Forms, aspects of PT in specific mathematical settings (Hamiltonian, KAM theory, Nekhoroshev theory, and symmetric systems), technical problems arising in PT with solutions, convergence of series expansions, diagrammatic methods, parametric resonance, systems with nilpotent real part, PT for non-smooth systems, and on PT for PDEs [write out this acronym partial differential equations]. Another group of papers is focused specifically on applications to Celestial Mechanics, Quantum Mechanics and the related semiclassical PT, Quantum Bifurcations, Molecular Dynamics, the so-called choreographies in the N-body problem, as well as Evolutionary Theory. Overall, this unique volume serves to demonstrate the wide utility of PT, while creating a foundation for innovations from a new generation of graduate students and professionals in Physics, Mathematics, Mechanics, Engineering and the Biological Sciences.
Book Synopsis Progress In Analysis, Proceedings Of The 3rd Isaac Congress (In 2 Volumes) by : Heinrich G W Begehr
Download or read book Progress In Analysis, Proceedings Of The 3rd Isaac Congress (In 2 Volumes) written by Heinrich G W Begehr and published by World Scientific. This book was released on 2003-08-04 with total page 1557 pages. Available in PDF, EPUB and Kindle. Book excerpt: The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation. This book constitutes the proceedings of the third meeting.
Author : Publisher :World Scientific ISBN 13 : Total Pages :820 pages Book Rating :4./5 ( download)
Download or read book written by and published by World Scientific. This book was released on with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in the Theory of Fréchet Spaces by : T. Terziogammalu
Download or read book Advances in the Theory of Fréchet Spaces written by T. Terziogammalu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frechet spaces have been studied since the days of Banach. These spaces, their inductive limits and their duals played a prominent role in the development of the theory of locally convex spaces. Also they are natural tools in many areas of real and complex analysis. The pioneering work of Grothendieck in the fifties has been one of the important sources of inspiration for research in the theory of Frechet spaces. A structure theory of nuclear Frechet spaces emerged and some important questions posed by Grothendieck were settled in the seventies. In particular, subspaces and quotient spaces of stable nuclear power series spaces were completely characterized. In the last years it has become increasingly clear that the methods used in the structure theory of nuclear Frechet spaces actually provide new insight to linear problems in diverse branches of analysis and lead to solutions of some classical problems. The unifying theme at our Workshop was the recent developments in the theory of the projective limit functor. This is appropriate because of the important role this theory had in the recent research. The main results of the structure theory of nuclear Frechet spaces can be formulated and proved within the framework of this theory. A major area of application of the theory of the projective limit functor is to decide when a linear operator is surjective and, if it is, to determine whether it has a continuous right inverse.
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