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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.
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Edition | Availability |
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1
Regularity problem for quasilinear elliptic and parabolicsystems
1995, Springer
in English
3540602518 9783540602514
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2
Regularity problem for quasilinear elliptic and parabolic systems
1995, Springer
in English
3540602518 9783540602514
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