Regularity problem for quasilinear elliptic and parabolic systems

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 a...

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Detalles Bibliográficos
Autor principal: Koshelev, Alexander
Lenguaje:eng
Publicado: Springer 1995
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/BFb0094482
http://cds.cern.ch/record/1691392
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author Koshelev, Alexander
author_facet Koshelev, Alexander
author_sort Koshelev, Alexander
collection CERN
description 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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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1995
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spelling cern-16913922021-04-21T21:10:18Zdoi:10.1007/BFb0094482http://cds.cern.ch/record/1691392engKoshelev, AlexanderRegularity problem for quasilinear elliptic and parabolic systemsMathematical Physics and MathematicsThe 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.Springeroai:cds.cern.ch:16913921995
spellingShingle Mathematical Physics and Mathematics
Koshelev, Alexander
Regularity problem for quasilinear elliptic and parabolic systems
title Regularity problem for quasilinear elliptic and parabolic systems
title_full Regularity problem for quasilinear elliptic and parabolic systems
title_fullStr Regularity problem for quasilinear elliptic and parabolic systems
title_full_unstemmed Regularity problem for quasilinear elliptic and parabolic systems
title_short Regularity problem for quasilinear elliptic and parabolic systems
title_sort regularity problem for quasilinear elliptic and parabolic systems
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0094482
http://cds.cern.ch/record/1691392
work_keys_str_mv AT koshelevalexander regularityproblemforquasilinearellipticandparabolicsystems

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