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Author : Jacques Hadamard
Publisher :
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.:/5 (1 download)
Download or read book Lectures on Cauchy's Problem in Linear Partial Differential Equations written by Jacques Hadamard and published by . This book was released on 1923 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jacques Hadamard
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (882 download)
Download or read book Lectures on Cauchy's Problem in Linear Partial Differential Equations written by Jacques Hadamard and published by . This book was released on 1923 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jacques Hadamard
Publisher :
ISBN 13 : 9780243650828
Total Pages : pages
Book Rating : 4.6/5 (58 download)
Download or read book Lectures on Cauchy's Problem in Linear Partial Differential Equations written by Jacques Hadamard and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jacques Hadamard
Publisher : Forgotten Books
ISBN 13 : 9781528484923
Total Pages : 332 pages
Book Rating : 4.4/5 (849 download)
Download or read book Lectures on Cauchy's Problem in Linear Partial Differential Equations (Classic Reprint) written by Jacques Hadamard and published by Forgotten Books. This book was released on 2017-09-18 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Lectures on Cauchy's Problem in Linear Partial Differential Equations Picard's researches - which we shall quote in their place - are also essential in several parts of the present work. Such is also the case for Le Roux. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : L. Nirenberg
Publisher : American Mathematical Soc.
ISBN 13 : 9780821888667
Total Pages : 70 pages
Book Rating : 4.8/5 (886 download)
Download or read book Lectures on Linear Partial Differential Equations written by L. Nirenberg and published by American Mathematical Soc.. This book was released on 1973 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Grigoriĭ Ilʹich Eskin
Publisher : American Mathematical Soc.
ISBN 13 : 0821852841
Total Pages : 432 pages
Book Rating : 4.8/5 (218 download)
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.
Author : Ti-Jun Xiao
Publisher : Springer
ISBN 13 : 3540494790
Total Pages : 314 pages
Book Rating : 4.5/5 (44 download)
Download or read book The Cauchy Problem for Higher Order Abstract Differential Equations written by Ti-Jun Xiao and published by Springer. This book was released on 2013-12-11 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to present the basic theory and some recent de velopments concerning the Cauchy problem for higher order abstract differential equations u(n)(t) + ~ AiU(i)(t) = 0, t ~ 0, { U(k)(O) = Uk, 0 ~ k ~ n-l. where AQ, Ab . . . , A - are linear operators in a topological vector space E. n 1 Many problems in nature can be modeled as (ACP ). For example, many n initial value or initial-boundary value problems for partial differential equations, stemmed from mechanics, physics, engineering, control theory, etc. , can be trans lated into this form by regarding the partial differential operators in the space variables as operators Ai (0 ~ i ~ n - 1) in some function space E and letting the boundary conditions (if any) be absorbed into the definition of the space E or of the domain of Ai (this idea of treating initial value or initial-boundary value problems was discovered independently by E. Hille and K. Yosida in the forties). The theory of (ACP ) is closely connected with many other branches of n mathematics. Therefore, the study of (ACPn) is important for both theoretical investigations and practical applications. Over the past half a century, (ACP ) has been studied extensively.
Author : Vladimir I. Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 3662054418
Total Pages : 168 pages
Book Rating : 4.6/5 (62 download)
Download or read book Lectures on Partial Differential Equations written by Vladimir I. Arnold and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Choice Outstanding Title! (January 2006) This richly illustrated text covers the Cauchy and Neumann problems for the classical linear equations of mathematical physics. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end. Some of these problems are quite challenging! What makes the book unique is Arnold's particular talent at holding a topic up for examination from a new and fresh perspective. He likes to blow away the fog of generality that obscures so much mathematical writing and reveal the essentially simple intuitive ideas underlying the subject. No other mathematical writer does this quite so well as Arnold.
Author : Lipman Bers
Publisher : American Mathematical Soc.
ISBN 13 : 9780821896983
Total Pages : 372 pages
Book Rating : 4.8/5 (969 download)
Download or read book Partial Differential Equations written by Lipman Bers and published by American Mathematical Soc.. This book was released on 1964-12-31 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of two main parts. The first part, "Hyperbolic and Parabolic Equations", written by F. John, contains a well-chosen assortment of material intended to give an understanding of some problems and techniques involving hyperbolic and parabolic equations. The emphasis is on illustrating the subject without attempting to survey it. The point of view is classical, and this serves well in furnishing insight into the subject; it also makes it possible for the lectures to be read by someone familiar with only the fundamentals of real and complex analysis. The second part, "Elliptic Equations", written by L. Bers and M. Schechter, contains a very readable account of the results and methods of the theory of linear elliptic equations, including the maximum principle, Hilbert-space methods, and potential-theoretic methods. It also contains a brief discussion of some quasi-linear elliptic equations. The book is suitable for graduate students and researchers interested in partial differential equations.
Author : J. Chazarain
Publisher : Elsevier
ISBN 13 : 9780080875354
Total Pages : 558 pages
Book Rating : 4.8/5 (753 download)
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
Author : Jacques Hadamard
Publisher :
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.X/5 (2 download)
Download or read book Four Lectures on Mathematics written by Jacques Hadamard and published by . This book was released on 1915 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. G. Petrovsky
Publisher : Courier Corporation
ISBN 13 : 0486155080
Total Pages : 261 pages
Book Rating : 4.4/5 (861 download)
Download or read book Lectures on Partial Differential Equations written by I. G. Petrovsky and published by Courier Corporation. This book was released on 2012-12-13 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from the Russian by A. Shenitzer.
Author : John Michael Rassias
Publisher : World Scientific
ISBN 13 : 9789810204068
Total Pages : 160 pages
Book Rating : 4.2/5 (4 download)
Download or read book Lecture Notes on Mixed Type Partial Differential Equations written by John Michael Rassias and published by World Scientific. This book was released on 1990 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses various parts of the theory of mixed type partial differential equations with boundary conditions such as: Chaplygin's classical dynamical equation of mixed type, the theory of regularity of solutions in the sense of Tricomi, Tricomi's fundamental idea and one-dimensional singular integral equations on non-Carleman type, Gellerstedt's characteristic problem and Frankl's non-characteristic problem, Bitsadze and Lavrentjev's mixed type boundary value problems, quasi-regularity of solutions in the classical sense. Some of the latest results of the author are also presented in this book.
Author : Lars Gårding
Publisher :
ISBN 13 :
Total Pages : 322 pages
Book Rating : 4.F/5 ( download)
Download or read book Cauchy's Problem for Hyperbolic Equations written by Lars Gårding and published by . This book was released on 1958 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : L. E. Payne
Publisher : SIAM
ISBN 13 : 9781611970463
Total Pages : 81 pages
Book Rating : 4.9/5 (74 download)
Download or read book Improperly Posed Problems in Partial Differential Equations written by L. E. Payne and published by SIAM. This book was released on 1975-01-01 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: Improperly posed Cauchy problems are the primary topics in this discussion which assumes that the geometry and coefficients of the equations are known precisely. Appropriate references are made to other classes of improperly posed problems. The contents include straight forward examples of methods eigenfunction, quasireversibility, logarithmic convexity, Lagrange identity, and weighted energy used in treating improperly posed Cauchy problems. The Cauchy problem for a class of second order operator equations is examined as is the question of determining explicit stability inequalities for solving the Cauchy problem for elliptic equations. Among other things, an example with improperly posed perturbed and unperturbed problems is discussed and concavity methods are used to investigate finite escape time for classes of operator equations.
Author : Pierre Magal
Publisher : Springer
ISBN 13 : 3030015068
Total Pages : 543 pages
Book Rating : 4.0/5 (3 download)
Download or read book Theory and Applications of Abstract Semilinear Cauchy Problems written by Pierre Magal and published by Springer. This book was released on 2018-11-21 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several types of differential equations, such as functional differential equation, age-structured models, transport equations, reaction-diffusion equations, and partial differential equations with delay, can be formulated as abstract Cauchy problems with non-dense domain. This monograph provides a self-contained and comprehensive presentation of the fundamental theory of non-densely defined semilinear Cauchy problems and their applications. Starting from the classical Hille-Yosida theorem, semigroup method, and spectral theory, this monograph introduces the abstract Cauchy problems with non-dense domain, integrated semigroups, the existence of integrated solutions, positivity of solutions, Lipschitz perturbation, differentiability of solutions with respect to the state variable, and time differentiability of solutions. Combining the functional analysis method and bifurcation approach in dynamical systems, then the nonlinear dynamics such as the stability of equilibria, center manifold theory, Hopf bifurcation, and normal form theory are established for abstract Cauchy problems with non-dense domain. Finally applications to functional differential equations, age-structured models, and parabolic equations are presented. This monograph will be very valuable for graduate students and researchers in the fields of abstract Cauchy problems, infinite dimensional dynamical systems, and their applications in biological, chemical, medical, and physical problems.
Author : Wolfgang Haack
Publisher : Pergamon
ISBN 13 :
Total Pages : 572 pages
Book Rating : 4.:/5 (44 download)
Download or read book Lectures on Partial and Pfaffian Differential Equations written by Wolfgang Haack and published by Pergamon. This book was released on 1972 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
