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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.
Buchkauf
Regularity problem for quasilinear elliptic and parabolic systems, Aleksandr I. Košelev
- Sprache
- Erscheinungsdatum
- 1995
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- Titel
- Regularity problem for quasilinear elliptic and parabolic systems
- Sprache
- Deutsch
- Autor*innen
- Aleksandr I. Košelev
- Verlag
- Springer
- Erscheinungsdatum
- 1995
- ISBN10
- 3540602518
- ISBN13
- 9783540602514
- Kategorie
- Mathematik
- 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.