Title: Regularity problem for quasilinear elliptic and parabolicsystems
First published: 1995
Description: 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.
Subjects: Differential equations, Elliptic, Differential equations, Parabolic, Elliptic Differential equations, Numerical equations, Numerical solutions, Parabolic Differential equations, Differential equations, numerical solutions, Mathematics, Global analysis (Mathematics)
LC classification: QA3 .L28 no. 1614, QA377 .L28 no. 1614