TY  - BOOK
AU  - Koshelev,Alexander
ED  - SpringerLink (Online service)
TI  - Regularity Problem for Quasilinear Elliptic and Parabolic Systems
T2  - Lecture Notes in Mathematics,
SN  - 9783540447726
AV  - QA299.6-433 
U1  - 515 23
PY  - 1995///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Global analysis (Mathematics)
KW  - Analysis
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0094482
ER  -