Almost global strong solutions to quasilinear dissipative evolution equations

Albert Milani

doi:10.1007/s11401-007-0251-7

Almost global strong solutions to quasilinear dissipative evolution equations

Albert Milani

Mathematics & Statistical Sciences

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

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 language	English
Pages (from-to)	91-110
Number of pages	20
Journal	Chinese Annals of Mathematics. Series B
Volume	30
Issue number	1
DOIs	https://doi.org/10.1007/s11401-007-0251-7
Publication status	Published - Jan 2009

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1007/s11401-007-0251-7

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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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JO - Chinese Annals of Mathematics. Series B

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Almost global strong solutions to quasilinear dissipative evolution equations

Abstract

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