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

Gennadii V. Demidenko, Stanislav V. Upsenskii (Autoren)

Buch | Hardcover

514 Seiten

2003
Crc Press Inc (Verlag)
978-0-8247-4039-9 (ISBN)

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This book deals with the theory of linear differential equations and systems that are not solved with respect to the higher-derivative. Presenting 2200 equations, it examines specific partial differential equations for applications in mechanics, physics, hydrodynamics, and oceanography.

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differential equations for applications in mechanics, physics, hydrodynamics, and oceanography and presents previously unpublished results, solvability theorems, and research.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

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

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

Erscheint lt. Verlag	25.4.2003
Verlagsort	Bosa Roca
Sprache	englisch
Maße	156 x 234 mm
Gewicht	861 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-8247-4039-4 / 0824740394
ISBN-13	978-0-8247-4039-9 / 9780824740399
Zustand	Neuware