1st Edition

Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative

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ISBN 9780824740399
Published April 25, 2003 by CRC Press
632 Pages

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Book Description

Offering in-depth analyses of current theories and approaches related to Sobolev-type equations and systems, this reference is the first to introduce a classification of equations and systems not solvable with respect to the highest order derivative, and it studies boundary value problems for these classes of equations. Presenting 2200 equations, this volume studies specific partial differential equations for applications in mechanics, physics, hydrodynamics, and oceanography and presents previously unpublished results, solvability theorems, and research. It includes mathematical results from S.L. Sobolev's study on the small oscillations of a rotating fluid and more.

Table of Contents

1. Preliminaries 2. The Cauchy Problem for Equations not Solved Relative to the Higher-Order Derivative 3. The Cauchy Problem for non-Cauchy-Kovalevskaya Type Systems 4. Mixed Problems in the Quarter of the Space 5. Qualitative Properties of Solutions to Sobolev-Type Equations

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Demidenko\, Gennadii V.; Upsenskii\, Stanislav V.