On quasilinear parabolic equations which admit global solutions for initial data with unrestricted growth

Authors
Chou, KS Kwong, YC
Citation
Ks. Chou et Yc. Kwong, On quasilinear parabolic equations which admit global solutions for initial data with unrestricted growth, CALC VAR P, 12(3), 2001, pp. 281-315
Citations number
11
Categorie Soggetti
Mathematics
Journal title
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
09442669 → ACNP
Volume
12
Issue
3
Year of publication
2001
Pages
281 - 315
Database
ISI
SICI code
0944-2669(200104)12:3<281:OQPEWA>2.0.ZU;2-X
Abstract
Three classes of quasilinear parabolic equations which have the common feat ure that their principal coefficients decay as the solution or its gradient blows up are studied. Long time existence of solutions for their Cauchy pr oblems for initial data with arbitrary growth is established.