Lecture Notes in Mathematics

Koshelev, Alexander

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 explicit, sometimes sharp, coercivity estimates in weighted spaces. Readers are assumed to have a standard background in analysis and PDEs.

Details

Published by: Springer

Publication Date: 1995-09-18

Format: Paperback

ISBN-13: 9783540602514

DOI: 10.1007/BFb0094482

Dimensions: 235cm x155cm

Pages: 262