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Regularity problem for quasilinear elliptic and parabolic systems

Author: A I Koshelev
Publisher: Berlin ; New York : Springer, ©1995.
Series: Lecture notes in mathematics (Springer-Verlag), 1614.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The smoothness of solutions for quasilinear systems is one of the most important problems in modern mathematical physics. This book deals with regular or strong solutions for general quasilinear second-order elliptic and parabolic systems. Applications in solid mechanics, hydrodynamics, elasticity and plasticity are described. The results presented are based on two main ideas: the universal iterative method, and  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Koshelev, A.I. (Aleksandr Ivanovich), 1927-
Regularity problem for quasilinear elliptic and parabolic systems.
Berlin ; New York : Springer, ©1995
(DLC) 95037502
(OCoLC)32969961
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: A I Koshelev
ISBN: 9783540447726 3540447725
OCLC Number: 298699603
Description: 1 online resource (xxi, 255 pages).
Contents: Weak solutions and the universal iterative process.- Regularity of solutions for non degenerated quasilinear second order elliptic systems of the divergent form with bounded nonlinearities.- Some properties and applications of regular solutions for quasilinear elliptic systems.- Diffeentiability of solutions for second order elliptic systems.- Regularity of solutions for parabolic systems with some applications.- The Navier-Stokes system; strong solutions.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1614.
Responsibility: Alexander Koshelev.

Abstract:

The smoothness of solutions for quasilinear systems is one of the most important problems in modern mathematical physics. This book deals with regular or strong solutions for general quasilinear  Read more...

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