Blow-up in nonlinear Sobolev type equations

The monograph is devoted to the study of initial-boundary-value problems for multi-dimensional Sobolev-type equations over bounded domains. The authors consider both specific initial-boundary-value problems and abstract Cauchy problems for first-order (in the time variable) differential equations wi...

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Detalles Bibliográficos
Autores principales: Al'shin, Alexander B, Korpusov, Maxim O, Sveshnikov, Alexey G
Lenguaje:eng
Publicado: De Gruyter 2011
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/1613745
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author Al'shin, Alexander B
Korpusov, Maxim O
Sveshnikov, Alexey G
author_facet Al'shin, Alexander B
Korpusov, Maxim O
Sveshnikov, Alexey G
author_sort Al'shin, Alexander B
collection CERN
description The monograph is devoted to the study of initial-boundary-value problems for multi-dimensional Sobolev-type equations over bounded domains. The authors consider both specific initial-boundary-value problems and abstract Cauchy problems for first-order (in the time variable) differential equations with nonlinear operator coefficients with respect to spatial variables. The main aim of the monograph is to obtain sufficient conditions for global (in time) solvability, to obtain sufficient conditions for blow-up of solutions at finite time, and to derive upper and lower estimates for the blow-up ti
id cern-1613745
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2011
publisher De Gruyter
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spelling cern-16137452021-04-21T22:10:57Zhttp://cds.cern.ch/record/1613745engAl'shin, Alexander BKorpusov, Maxim OSveshnikov, Alexey GBlow-up in nonlinear Sobolev type equationsMathematical Physics and Mathematics The monograph is devoted to the study of initial-boundary-value problems for multi-dimensional Sobolev-type equations over bounded domains. The authors consider both specific initial-boundary-value problems and abstract Cauchy problems for first-order (in the time variable) differential equations with nonlinear operator coefficients with respect to spatial variables. The main aim of the monograph is to obtain sufficient conditions for global (in time) solvability, to obtain sufficient conditions for blow-up of solutions at finite time, and to derive upper and lower estimates for the blow-up tiDe Gruyteroai:cds.cern.ch:16137452011
spellingShingle Mathematical Physics and Mathematics
Al'shin, Alexander B
Korpusov, Maxim O
Sveshnikov, Alexey G
Blow-up in nonlinear Sobolev type equations
title Blow-up in nonlinear Sobolev type equations
title_full Blow-up in nonlinear Sobolev type equations
title_fullStr Blow-up in nonlinear Sobolev type equations
title_full_unstemmed Blow-up in nonlinear Sobolev type equations
title_short Blow-up in nonlinear Sobolev type equations
title_sort blow-up in nonlinear sobolev type equations
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1613745
work_keys_str_mv AT alshinalexanderb blowupinnonlinearsobolevtypeequations
AT korpusovmaximo blowupinnonlinearsobolevtypeequations
AT sveshnikovalexeyg blowupinnonlinearsobolevtypeequations

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