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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.
Autorius: | Alexander Koshelev |
Serija: | Lecture Notes in Mathematics |
Leidėjas: | Springer Berlin Heidelberg |
Išleidimo metai: | 1995 |
Knygos puslapių skaičius: | 284 |
ISBN-10: | 3540602518 |
ISBN-13: | 9783540602514 |
Formatas: | 235 x 155 x 16 mm. Knyga minkštu viršeliu |
Kalba: | Anglų |
Parašykite atsiliepimą apie „Regularity Problem for Quasilinear Elliptic and Parabolic Systems“