On almost global existence for nonrelativistic wave equations in 3D

Sergiu Klainerman; Thomas C. Sideris

doi:10.1002/(SICI)1097-0312(199603)49:3<307::AID-CPA4>3.0.CO;2-H

On almost global existence for nonrelativistic wave equations in 3D

Sergiu Klainerman
, Thomas C. Sideris

Mathematics

Research output: Contribution to journal › Article › peer-review

157 Scopus citations

Abstract

Almost global solutions are constructed to three-dimensional, quadratically nonlinear wave equations. The proof relies on generalized energy estimates and a new decay estimate. The method applies to equations that are only classically invariant, such as the nonlinear system of hyperelasticity.

Original language	English (US)
Pages (from-to)	307-321
Number of pages	15
Journal	Communications on Pure and Applied Mathematics
Volume	49
Issue number	3
DOIs	https://doi.org/10.1002/(SICI)1097-0312(199603)49:3<307::AID-CPA4>3.0.CO;2-H
State	Published - Mar 1996

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1002/(SICI)1097-0312(199603)49:3<307::AID-CPA4>3.0.CO;2-H

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title = "On almost global existence for nonrelativistic wave equations in 3D",

abstract = "Almost global solutions are constructed to three-dimensional, quadratically nonlinear wave equations. The proof relies on generalized energy estimates and a new decay estimate. The method applies to equations that are only classically invariant, such as the nonlinear system of hyperelasticity.",

author = "Sergiu Klainerman and Sideris, \{Thomas C.\}",

year = "1996",

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AU - Klainerman, Sergiu

AU - Sideris, Thomas C.

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N2 - Almost global solutions are constructed to three-dimensional, quadratically nonlinear wave equations. The proof relies on generalized energy estimates and a new decay estimate. The method applies to equations that are only classically invariant, such as the nonlinear system of hyperelasticity.

AB - Almost global solutions are constructed to three-dimensional, quadratically nonlinear wave equations. The proof relies on generalized energy estimates and a new decay estimate. The method applies to equations that are only classically invariant, such as the nonlinear system of hyperelasticity.

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DO - 10.1002/(SICI)1097-0312(199603)49:3<307::AID-CPA4>3.0.CO;2-H

M3 - Article

AN - SCOPUS:0030549709

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EP - 321

JO - Communications on Pure and Applied Mathematics

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On almost global existence for nonrelativistic wave equations in 3D

Abstract

All Science Journal Classification (ASJC) codes

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