Author: Jacques HadamardPublisher:
ISBN:
Category : Cauchy problem
Languages : en
Pages : 336
Book Description
Lectures on Cauchy's Problem in Linear Partial Differential Equations
Author: Jacques HadamardPublisher:
ISBN:
Category : Cauchy problem
Languages : en
Pages : 336
Book Description
Lectures on Cauchy's Problem in Linear Partial Differential Equations
Author: Jacques HadamardPublisher:
ISBN: 9780243650828
Category :
Languages : en
Pages :
Book Description
Lectures on Cauchy's Problem in Linear Partial Differential Equations
Author: Jacques HadamardLectures on Cauchy's Problem in Linear Partial Differential Equations Cauchy's Problem in Linear Partial Differential Equation
Author: Wing-tsit ChanLectures on Cauchy's Problem in Linear Partial Differential Equations (Classic Reprint)
Author: Jacques HadamardPublisher: Forgotten Books
ISBN: 9781528484923
Category : Mathematics
Languages : en
Pages : 332
Book Description
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.
Lectures on Partial Differential Equations
Author: I. G. PetrovskyPublisher: Courier Corporation
ISBN: 0486155080
Category : Mathematics
Languages : en
Pages : 261
Book Description
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.
The Cauchy Problem for Higher Order Abstract Differential Equations
Author: Ti-Jun XiaoPublisher: Springer
ISBN: 3540494790
Category : Mathematics
Languages : en
Pages : 314
Book Description
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.
Lectures on Cauchy's Problem in Linear Partial Differential Equations
Author: Jacques Salomon HadamardPublisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Lectures on Linear Partial Differential Equations
Author: Grigoriĭ Ilʹich EskinPublisher: American Mathematical Soc.
ISBN: 0821852841
Category : Mathematics
Languages : en
Pages : 432
Book Description
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.
The Cauchy Problem for Partial Differential Equations of the Second Order and the Method of Ascent
Author: Florent J. BureauPublisher:
ISBN:
Category : Cauchy problem
Languages : en
Pages : 138
Book Description
A method of ascent is used to solve the Cauchy problem for linear partial differential equations of the second order in p space variables with constant coefficients i.e., the pure wave equation, the damped wave equation, and the heat equation. This method consists of inferring the solution of the problem referred to from the well known solution of the same problem for one space variable. The commutability of repeated pf integral, the solution deduced by the method of singularities for the Cauchy problem for the damped wave equation, and the solution of singular integral equations of the Volterra type are also considered. (Author).