Integral Operators In The Theory Of Linear Partial Differential Equations
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Author | : Stefan Bergman |
Publisher | : Springer |
Total Pages | : 154 |
Release | : 2013-12-14 |
Genre | : Mathematics |
ISBN | : 3662399415 |
Download Integral Operators in the Theory of Linear Partial Differential Equations Book in PDF, Epub and Kindle
Author | : Lars Hörmander |
Publisher | : Springer Science & Business Media |
Total Pages | : 363 |
Release | : 2009-04-28 |
Genre | : Mathematics |
ISBN | : 364200136X |
Download The Analysis of Linear Partial Differential Operators IV Book in PDF, Epub and Kindle
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
Author | : Demetrios Andreou Kappos |
Publisher | : |
Total Pages | : 176 |
Release | : 1960 |
Genre | : Algebra, Boolean |
ISBN | : |
Download Integral Operators in the Theory of Linear Partial Differential Equations Book in PDF, Epub and Kindle
Author | : Stefan Bergman |
Publisher | : |
Total Pages | : 30 |
Release | : 1949 |
Genre | : |
ISBN | : |
Download The Method of Integral Operators in the Theory of Linear Partial Differential Equations Book in PDF, Epub and Kindle
Author | : Jurgen Appell |
Publisher | : CRC Press |
Total Pages | : 582 |
Release | : 2000-02-29 |
Genre | : Mathematics |
ISBN | : 9780824703967 |
Download Partial Integral Operators and Integro-Differential Equations Book in PDF, Epub and Kindle
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.
Author | : Luigi Rodino |
Publisher | : World Scientific |
Total Pages | : 266 |
Release | : 1993-03-30 |
Genre | : Mathematics |
ISBN | : 9814505870 |
Download Linear Partial Differential Operators In Gevrey Spaces Book in PDF, Epub and Kindle
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.
Author | : Lars Hörmander |
Publisher | : Springer |
Total Pages | : 462 |
Release | : 1990-08-10 |
Genre | : Mathematics |
ISBN | : 9783540523437 |
Download The Analysis of Linear Partial Differential Operators I Book in PDF, Epub and Kindle
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.
Author | : Lars Hörmander |
Publisher | : Springer |
Total Pages | : 376 |
Release | : 1994-12-16 |
Genre | : Mathematics |
ISBN | : 9783540138297 |
Download The Analysis of Linear Partial Differential Operators IV Book in PDF, Epub and Kindle
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
Author | : Lars Hörmander |
Publisher | : Springer |
Total Pages | : 454 |
Release | : 2015-03-30 |
Genre | : Mathematics |
ISBN | : 3642614973 |
Download The Analysis of Linear Partial Differential Operators I Book in PDF, Epub and Kindle
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.
Author | : Yu.V. Egorov |
Publisher | : Springer Science & Business Media |
Total Pages | : 269 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 3642578764 |
Download Partial Differential Equations II Book in PDF, Epub and Kindle
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.