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Overview
The theory of differential operator equations has been described in various monographs. But the initial physical problem which leads to these equations is often hidden. When the physical problem is studied, the mathematical proofs are either not given or are quickly explained In this book, we give a systematic treatment of the differential equations with application to partial differential equations obtained from elastostatic problems. In particular, we study problems which are obtained from asymptotic expansion with two scales. We approximate and, when it is possible, expand the solution of problems by elementary solutions. This book is intended for scientists (mathematicians in the field of ordinary and partial differential equations, differential-operator equations; theoretical mechanics; theoretical physicists) and graduate students in Functional Analysis,Differential Equations, Equations of Mathematical Physics, and related topics.
Synopsis
While many monographs have described the theory of differential- operator equations, often the initial physical problems underlying the equations have not been well explained. This book offers a systematic treatment of partial differential equations which arise in elastostatic problems, in particular those obtained from asymptotic expansion with two scales. Titeux (Reims U., France) and Yakubov (Tel-Aviv U., Israel) cover topics including asymptotic expansion for the thermal conduction in a plate, thermoelasticity systems in bounded domains with non-smooth boundaries, and second- order elliptic equations with a sefadjoint operator coefficient. For mathematicians, physicists, and graduate students in functional analysis. Annotation ©2003 Book News, Inc., Portland, OR