Regularity problem for quasilinear elliptic and parabolicsystems

Regularity problem for quasilinear elliptic and parabolicsystems

by Koshelev

Part of Lecture notes in mathematics ;

1995
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About
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.

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