Almost global strong solutions to quasilinear dissipative evolution equations

Journal article

Authors / Editors

Milani, Albert

Research Areas

No matching items found.

Publication Details

Author list: Milani A

Publisher: Springer

Place: SHANGHAI

Publication year: 2009

Journal: Chinese Annals of Mathematics, Series B (0252-9599)

Journal acronym: CHINESE ANN MATH B

Volume number: 30

Issue number: 1

Start page: 91

End page: 110

Number of pages: 20

ISSN: 0252-9599

eISSN: 1860-6261

Languages: English-Great Britain (EN-GB)

View in Web of Science | View on publisher site | View citing articles in Web of Science

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 epsilon is sufficiently small. This implies a corresponding global existence result for the reduced quasilinear parabolic equation (1.4) below.

Keywords

A priori estimates, Global existence, quasilinear evolution equation, Small parameter

Documents