Regularity Problem for Quasilinear Elliptic and Parabolic Systems
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Beschreibung
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.
Autor*in
Alexander Koshelev
Themen in »Regularity Problem for Quasilinear Elliptic and Parabolic Systems«
Partial differential equations Smooth function differential equation elliptic parabolic system mathematical physics partial differential equation regularity