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Nonlinear wave equations

This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cau...

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Detalles Bibliográficos
Autores principales: Li, Tatsien, Zhou, Yi
Lenguaje:eng
Publicado: Springer 2017
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-662-55725-9
http://cds.cern.ch/record/2296551
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author Li, Tatsien
Zhou, Yi
author_facet Li, Tatsien
Zhou, Yi
author_sort Li, Tatsien
collection CERN
description This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions and with all possible integer powers of nonlinear terms. Further, the book proposes the global iteration method, which offers a unified and straightforward approach for treating these kinds of problems. Purely based on the properties of solut ions to the corresponding linear problems, the method simply applies the contraction mapping principle.
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institution Organización Europea para la Investigación Nuclear
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spelling cern-22965512021-04-21T18:58:57Zdoi:10.1007/978-3-662-55725-9http://cds.cern.ch/record/2296551engLi, TatsienZhou, YiNonlinear wave equationsMathematical Physics and MathematicsThis book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions and with all possible integer powers of nonlinear terms. Further, the book proposes the global iteration method, which offers a unified and straightforward approach for treating these kinds of problems. Purely based on the properties of solut ions to the corresponding linear problems, the method simply applies the contraction mapping principle.Springeroai:cds.cern.ch:22965512017
spellingShingle Mathematical Physics and Mathematics
Li, Tatsien
Zhou, Yi
Nonlinear wave equations
title Nonlinear wave equations
title_full Nonlinear wave equations
title_fullStr Nonlinear wave equations
title_full_unstemmed Nonlinear wave equations
title_short Nonlinear wave equations
title_sort nonlinear wave equations
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-662-55725-9
http://cds.cern.ch/record/2296551
work_keys_str_mv AT litatsien nonlinearwaveequations
AT zhouyi nonlinearwaveequations