Partial differential equations and systems not solvable with respect to the highest-order derivative
著者
書誌事項
Partial differential equations and systems not solvable with respect to the highest-order derivative
（Monographs and textbooks in pure and applied mathematics, 256）
Marcel Dekker, c2003
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注記
Includes index
内容説明・目次
内容説明
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differential equations for applications in mechanics, physics, hydrodynamics, and oceanography and presents previously unpublished results, solvability theorems, and research.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.
目次
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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