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Nonlinear evolution operators and semigroups: applications to partial differential equations

This research monograph deals with nonlinear evolution operators and semigroups generated by dissipative (accretive), possibly multivalued operators, as well as with the application of this theory to partial differential equations. It shows that a large class of PDE's can be studied via the sem...

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Detalles Bibliográficos
Autor principal: Pavel, Nicolae H
Lenguaje:eng
Publicado: Springer 1987
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0077768
http://cds.cern.ch/record/1691510
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author Pavel, Nicolae H
author_facet Pavel, Nicolae H
author_sort Pavel, Nicolae H
collection CERN
description This research monograph deals with nonlinear evolution operators and semigroups generated by dissipative (accretive), possibly multivalued operators, as well as with the application of this theory to partial differential equations. It shows that a large class of PDE's can be studied via the semigroup approach. This theory is not available otherwise in the self-contained form provided by these Notes and moreover a considerable part of the results, proofs and methods are not to be found in other books. The exponential formula of Crandall and Liggett, some simple estimates due to Kobayashi and others, the characterization of compact semigroups due to Brézis, the proof of a fundamental property due to Ursescu and the author and some applications to PDE are of particular interest. Assuming only basic knowledge of functional analysis, the book will be of interest to researchers and graduate students in nonlinear analysis and PDE, and to mathematical physicists.
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spelling cern-16915102021-04-21T21:09:20Zdoi:10.1007/BFb0077768http://cds.cern.ch/record/1691510engPavel, Nicolae HNonlinear evolution operators and semigroups: applications to partial differential equationsMathematical Physics and MathematicsThis research monograph deals with nonlinear evolution operators and semigroups generated by dissipative (accretive), possibly multivalued operators, as well as with the application of this theory to partial differential equations. It shows that a large class of PDE's can be studied via the semigroup approach. This theory is not available otherwise in the self-contained form provided by these Notes and moreover a considerable part of the results, proofs and methods are not to be found in other books. The exponential formula of Crandall and Liggett, some simple estimates due to Kobayashi and others, the characterization of compact semigroups due to Brézis, the proof of a fundamental property due to Ursescu and the author and some applications to PDE are of particular interest. Assuming only basic knowledge of functional analysis, the book will be of interest to researchers and graduate students in nonlinear analysis and PDE, and to mathematical physicists.Springeroai:cds.cern.ch:16915101987
spellingShingle Mathematical Physics and Mathematics
Pavel, Nicolae H
Nonlinear evolution operators and semigroups: applications to partial differential equations
title Nonlinear evolution operators and semigroups: applications to partial differential equations
title_full Nonlinear evolution operators and semigroups: applications to partial differential equations
title_fullStr Nonlinear evolution operators and semigroups: applications to partial differential equations
title_full_unstemmed Nonlinear evolution operators and semigroups: applications to partial differential equations
title_short Nonlinear evolution operators and semigroups: applications to partial differential equations
title_sort nonlinear evolution operators and semigroups: applications to partial differential equations
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0077768
http://cds.cern.ch/record/1691510
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