Partial differential equations and systems not solvable with respect to the highest-order derivative

Author(s)

• Demidenko, G. V. (Gennadiĭ Vladimirovich)
• Uspenskiĭ, S. V.

Bibliographic Information

Partial differential equations and systems not solvable with respect to the highest-order derivative

Gennadii V. Demidenko, Stanislav V. Uspenskii

（Monographs and textbooks in pure and applied mathematics, 256）

Marcel Dekker, c2003

Note

Includes index

Description and Table of Contents

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differential equations for applications in mechanics, physics, hydrodynamics, and oceanography and presents previously unpublished results, solvability theorems, and research.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

by "Nielsen BookData"

Details

• NCID: BA62320762
• ISBN:
  • 0824740394
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: New York
• Pages/Volumes: xvi, 490 p.
• Size: 24 cm
• Parent Bibliography ID:
  • BA00046446