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Integral Operators In The Theory Of Linear Partial Differential Equations
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Book Synopsis Integral Operators in the Theory of Linear Partial Differential Equations by : Stefan Bergman
Download or read book Integral Operators in the Theory of Linear Partial Differential Equations written by Stefan Bergman and published by Springer. This book was released on 2013-12-14 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Integral Operators in the Theory of Linear Partial Differential Equations by : Demetrios Andreou Kappos
Download or read book Integral Operators in the Theory of Linear Partial Differential Equations written by Demetrios Andreou Kappos and published by . This book was released on 1960 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Partial Integral Operators and Integro-Differential Equations by : Jurgen Appell
Download or read book Partial Integral Operators and Integro-Differential Equations written by Jurgen Appell and published by CRC Press. This book was released on 2000-02-29 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained account of integro-differential equations of the Barbashin type and partial integral operators. It presents the basic theory of Barbashin equations in spaces of continuous or measurable functions, including existence, uniqueness, stability and perturbation results. The theory and applications of partial integral operators and linear and nonlinear equations is discussed. Topics range from abstract functional-analytic approaches to specific uses in continuum mechanics and engineering.
Book Synopsis The Method of Integral Operators in the Theory of Linear Partial Differential Equations by : Stefan Bergman
Download or read book The Method of Integral Operators in the Theory of Linear Partial Differential Equations written by Stefan Bergman and published by . This book was released on 1949 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Analysis of Linear Partial Differential Operators I by : Lars Hörmander
Download or read book The Analysis of Linear Partial Differential Operators I written by Lars Hörmander and published by Springer. This book was released on 1990-08-10 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main change in this edition is the inclusion of exercises with answers and hints. This is meant to emphasize that this volume has been written as a general course in modern analysis on a graduate student level and not only as the beginning of a specialized course in partial differen tial equations. In particular, it could also serve as an introduction to harmonic analysis. Exercises are given primarily to the sections of gen eral interest; there are none to the last two chapters. Most of the exercises are just routine problems meant to give some familiarity with standard use of the tools introduced in the text. Others are extensions of the theory presented there. As a rule rather complete though brief solutions are then given in the answers and hints. To a large extent the exercises have been taken over from courses or examinations given by Anders Melin or myself at the University of Lund. I am grateful to Anders Melin for letting me use the problems originating from him and for numerous valuable comments on this collection. As in the revised printing of Volume II, a number of minor flaws have also been corrected in this edition. Many of these have been called to my attention by the Russian translators of the first edition, and I wish to thank them for our excellent collaboration.
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 The Analysis of Linear Partial Differential Operators by : Lars Hörmander
Download or read book The Analysis of Linear Partial Differential Operators written by Lars Hörmander and published by . This book was released on 1983 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Analysis of Linear Partial Differential Operators I by : Lars Hörmander
Download or read book The Analysis of Linear Partial Differential Operators I written by Lars Hörmander and published by Springer. This book was released on 2015-03-30 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main change in this edition is the inclusion of exercises with answers and hints. This is meant to emphasize that this volume has been written as a general course in modern analysis on a graduate student level and not only as the beginning of a specialized course in partial differen tial equations. In particular, it could also serve as an introduction to harmonic analysis. Exercises are given primarily to the sections of gen eral interest; there are none to the last two chapters. Most of the exercises are just routine problems meant to give some familiarity with standard use of the tools introduced in the text. Others are extensions of the theory presented there. As a rule rather complete though brief solutions are then given in the answers and hints. To a large extent the exercises have been taken over from courses or examinations given by Anders Melin or myself at the University of Lund. I am grateful to Anders Melin for letting me use the problems originating from him and for numerous valuable comments on this collection. As in the revised printing of Volume II, a number of minor flaws have also been corrected in this edition. Many of these have been called to my attention by the Russian translators of the first edition, and I wish to thank them for our excellent collaboration.
Book Synopsis Lectures on Linear Partial Differential Equations by : Grigoriĭ Ilʹich Eskin
Download or read book Lectures on Linear Partial Differential Equations written by Grigoriĭ Ilʹich Eskin and published by American Mathematical Soc.. This book was released on 2011 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reader-friendly, relatively short introduction to the modern theory of linear partial differential equations. An effort has been made to present complete proofs in an accessible and self-contained form. The first three chapters are on elementary distribution theory and Sobolev spaces. The following chapters study the Cauchy problem for parabolic and hyperbolic equations, boundary value problems for elliptic equations, heat trace asymptotics, and scattering theory.
Book Synopsis Introduction to the Theory of Linear Partial Differential Equations by : J. Chazarain
Download or read book Introduction to the Theory of Linear Partial Differential Equations written by J. Chazarain and published by Elsevier. This book was released on 2011-08-18 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Theory of Linear Partial Differential Equations
Book Synopsis Partial Differential Equations II by : Yu.V. Egorov
Download or read book Partial Differential Equations II written by Yu.V. Egorov and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the first printing of which was published as Volume 31 of the Encyclopaedia of Mathematical Sciences, contains a survey of the modern theory of general linear partial differential equations and a detailed review of equations with constant coefficients. Readers will be interested in an introduction to microlocal analysis and its applications including singular integral operators, pseudodifferential operators, Fourier integral operators and wavefronts, a survey of the most important results about the mixed problem for hyperbolic equations, a review of asymptotic methods including short wave asymptotics, the Maslov canonical operator and spectral asymptotics, a detailed description of the applications of distribution theory to partial differential equations with constant coefficients including numerous interesting special topics.
Book Synopsis Fundamental Solutions of Linear Partial Differential Operators by : Norbert Ortner
Download or read book Fundamental Solutions of Linear Partial Differential Operators written by Norbert Ortner and published by Springer. This book was released on 2015-08-05 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations. Many illustrative examples also show techniques for finding such solutions in terms of integrals. Particular attention is given to developing the fundamentals of distribution theory, accompanied by calculations of fundamental solutions. The main part of the book deals with existence theorems and uniqueness criteria, the method of parameter integration, the investigation of quasihyperbolic systems by means of Fourier and Laplace transforms, and the representation of fundamental solutions of homogeneous elliptic operators with the help of Abelian integrals. In addition to rigorous distributional derivations and verifications of fundamental solutions, the book also shows how to construct fundamental solutions (matrices) of many physically relevant operators (systems), in elasticity, thermoelasticity, hexagonal/cubic elastodynamics, for Maxwell’s system and others. The book mainly addresses researchers and lecturers who work with partial differential equations. However, it also offers a valuable resource for students with a solid background in vector calculus, complex analysis and functional analysis.
Book Synopsis Integral Operators in the Theory of Linear Partial Differential Equations by : Stefan Bergman
Download or read book Integral Operators in the Theory of Linear Partial Differential Equations written by Stefan Bergman and published by Springer. This book was released on 2013-12-01 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fourier Integral Operators and Partial Differential Equations by : J. Chazarain
Download or read book Fourier Integral Operators and Partial Differential Equations written by J. Chazarain and published by Springer. This book was released on 2006-11-14 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Partial Differential and Integral Equations by : Heinrich Begehr
Download or read book Partial Differential and Integral Equations written by Heinrich Begehr and published by Springer Science & Business Media. This book was released on 1999 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent results on partial differential equations as well as with complex analytic methods on singular integral equations and on related subjects are presented. Many of the contributions are survey articles. Topics ranging from elliptic, parabolic, hyperbolic, and mixed-type equations and systems to hyper-complex and quatern ionic analysis, M-analytic, bianalytic, polyharmonic and functions of several complex variables are covered. Applications to mathematical physics are also included. Audience: Specialists in partial differential equations and related topics, with an interest in real and complex methods and in applications to mathematical physics will find this book very useful.
Book Synopsis Seminar on Singularities of Solutions of Linear Partial Differential Equations by : George F. Oster
Download or read book Seminar on Singularities of Solutions of Linear Partial Differential Equations written by George F. Oster and published by Princeton University Press. This book was released on 1978 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singularities of solutions of differential equations forms the common theme of these papers taken from a seminar held at the Institute for Advanced Study in Princeton in 1977-1978. While some of the lectures were devoted to the analysis of singularities, others focused on applications in spectral theory. As an introduction to the subject, this volume treats current research in the field in such a way that it can be studied with profit by the non-specialist.
