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

1. Auflage 2003
ISBN: 978-0-8247-4039-9
Verlag: CRC Press

Buch, Englisch, 514 Seiten, Format (B × H): 157 mm x 231 mm, Gewicht: 861 g

Reihe: Pure and Applied Mathematics 256

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differential equations for applications in mechanics, physics, hydrodynamics, and oceanography and presents previously unpublished results, solvability theorems, and research.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

Autoren/Hrsg.

Demidenko, Gennadii V.

Upsenskii, Stanislav V.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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

Über Autor(innen)

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