Global existence of small solutions to nonlinear evolution equations

Jalal Shatah

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)409-425
Number of pages17
JournalJournal of Differential Equations
Volume46
Issue number3
DOIs
StatePublished - 1982

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Small Solutions
Nonlinear Evolution Equations
Linear equations
Nonlinear Partial Differential Equations
Global Existence
Partial differential equations
Linear equation
Asymptotic Behavior
Term
Class

ASJC Scopus subject areas

  • Analysis

Cite this

Global existence of small solutions to nonlinear evolution equations. / Shatah, Jalal.

In: Journal of Differential Equations, Vol. 46, No. 3, 1982, p. 409-425.

Research output: Contribution to journalArticle

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