Distributions And General Theory Of Differential Operators
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Author | : Francois Treves |
Publisher | : |
Total Pages | : 272 |
Release | : 1960 |
Genre | : Differential equations, Nonlinear |
ISBN | : |
Download Distributions and General Theory of Differential Operators Book in PDF, Epub and Kindle
Author | : Francois Treves |
Publisher | : |
Total Pages | : |
Release | : 1960 |
Genre | : Differential equations, Nonlinear |
ISBN | : |
Download Distributions and General Theory of Differential Operators Book in PDF, Epub and Kindle
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 | : Adina Chirilă |
Publisher | : Springer Nature |
Total Pages | : 277 |
Release | : 2021-02-08 |
Genre | : Mathematics |
ISBN | : 3030671593 |
Download Distribution Theory Applied to Differential Equations Book in PDF, Epub and Kindle
This book presents important contributions to modern theories concerning the distribution theory applied to convex analysis (convex functions, functions of lower semicontinuity, the subdifferential of a convex function). The authors prove several basic results in distribution theory and present ordinary differential equations and partial differential equations by providing generalized solutions. In addition, the book deals with Sobolev spaces, which presents aspects related to variation problems, such as the Stokes system, the elasticity system and the plate equation. The authors also include approximate formulations of variation problems, such as the Galerkin method or the finite element method. The book is accessible to all scientists, and it is especially useful for those who use mathematics to solve engineering and physics problems. The authors have avoided concepts and results contained in other books in order to keep the book comprehensive. Furthermore, they do not present concrete simplified models and pay maximal attention to scientific rigor.
Author | : Robert S. Strichartz |
Publisher | : World Scientific |
Total Pages | : 238 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9789812384300 |
Download A Guide to Distribution Theory and Fourier Transforms Book in PDF, Epub and Kindle
This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.A Guide to Distribution Theory and Fourier Transforms can serve as a textbook for parts of a course on Applied Analysis or Methods of Mathematical Physics, and in fact it is used that way at Cornell.
Author | : M.A. Al-Gwaiz |
Publisher | : CRC Press |
Total Pages | : 276 |
Release | : 1992-04-24 |
Genre | : Mathematics |
ISBN | : 0849306698 |
Download Theory of Distributions Book in PDF, Epub and Kindle
A textbook for a graduate course in the theory of distributions and related topics, for students of applied mathematics or theoretical physics. Introduces the theory, explicates mathematical structures and the Hilbert-space aspects, and presents applications to typical boundary problems. Annotation
Author | : C. Zuily |
Publisher | : Elsevier |
Total Pages | : 247 |
Release | : 1988-04-01 |
Genre | : Mathematics |
ISBN | : 0080872549 |
Download Problems in Distributions and Partial Differential Equations Book in PDF, Epub and Kindle
The aim of this book is to provide a comprehensive introduction to the theory of distributions, by the use of solved problems. Although written for mathematicians, it can also be used by a wider audience, including engineers and physicists.The first six chapters deal with the classical theory, with special emphasis on the concrete aspects. The reader will find many examples of distributions and learn how to work with them. At the beginning of each chapter the relevant theoretical material is briefly recalled. The last chapter is a short introduction to a very wide and important field in analysis which can be considered as the most natural application of distributions, namely the theory of partial differential equations. It includes exercises on the classical differential operators and on fundamental solutions, hypoellipticity, analytic hypoellipticity, Sobolev spaces, local solvability, the Cauchy problem, etc.
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 | : Abdellah El Kinani |
Publisher | : World Scientific |
Total Pages | : 219 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 9814304921 |
Download Distribution Theory and Applications Book in PDF, Epub and Kindle
The general frame for the resolution of PDEs is the theory of kernels ù the first elements of which are sufficient to show the practicality of distribution theory in applications. --
Author | : J.J. Duistermaat |
Publisher | : Springer Science & Business Media |
Total Pages | : 455 |
Release | : 2010-08-09 |
Genre | : Mathematics |
ISBN | : 0817646752 |
Download Distributions Book in PDF, Epub and Kindle
This textbook is an application-oriented introduction to the theory of distributions, a powerful tool used in mathematical analysis. The treatment emphasizes applications that relate distributions to linear partial differential equations and Fourier analysis problems found in mechanics, optics, quantum mechanics, quantum field theory, and signal analysis. The book is motivated by many exercises, hints, and solutions that guide the reader along a path requiring only a minimal mathematical background.