Global existence of small solutions to nonlinear evolution equations

Jalal Shatah

doi:10.1016/0022-0396(82)90102-4

Global existence of small solutions to nonlinear evolution equations

Jalal Shatah

Mathematics

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

Abstract

We study the global existence and asymptotic behaviour of "small" solutions of a large class of nonlinear partial differential equations. If the nonlinear terms are of high degree the solutions will be asymptotic to solutions of the linear equation.

Original language	English (US)
Pages (from-to)	409-425
Number of pages	17
Journal	Journal of Differential Equations
Volume	46
Issue number	3
DOIs	https://doi.org/10.1016/0022-0396(82)90102-4
State	Published - Dec 1982

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/0022-0396(82)90102-4

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abstract = "We study the global existence and asymptotic behaviour of {"}small{"} solutions of a large class of nonlinear partial differential equations. If the nonlinear terms are of high degree the solutions will be asymptotic to solutions of the linear equation.",

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Global existence of small solutions to nonlinear evolution equations

Abstract

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