Almost global strong solutions to quasilinear dissipative evolution equations

Research output: Contribution to journalArticle

Abstract

The author proves a global existence result for strong solutions to the quasilinear dissipative hyperbolic equation (1.1) below, corresponding to initial values and source terms of arbitrary size, provided that the hyperbolicity parameter ε is sufficiently small. This implies a corresponding global existence result for the reduced quasilinear parabolic equation (1.4) below.

Original languageEnglish
Pages (from-to)91-110
Number of pages20
JournalChinese Annals of Mathematics. Series B
Volume30
Issue number1
DOIs
Publication statusPublished - Jan 1 2009

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Dissipative Equations
Strong Solution
Global Existence
Existence Results
Evolution Equation
Quasilinear Parabolic Equations
Hyperbolicity
Source Terms
Hyperbolic Equations
Imply
Arbitrary

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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title = "Almost global strong solutions to quasilinear dissipative evolution equations",
abstract = "The author proves a global existence result for strong solutions to the quasilinear dissipative hyperbolic equation (1.1) below, corresponding to initial values and source terms of arbitrary size, provided that the hyperbolicity parameter ε is sufficiently small. This implies a corresponding global existence result for the reduced quasilinear parabolic equation (1.4) below.",
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Almost global strong solutions to quasilinear dissipative evolution equations. / Milani, Albert.

In: Chinese Annals of Mathematics. Series B, Vol. 30, No. 1, 01.01.2009, p. 91-110.

Research output: Contribution to journalArticle

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