Parabolic problems with nonlinear boundary conditions and critical nonlinearities

Authors
Arrieta, JM Carvalho, AN Rodriguez-Bernal, A
Citation
Jm. Arrieta et al., Parabolic problems with nonlinear boundary conditions and critical nonlinearities, J DIFF EQUA, 156(2), 1999, pp. 376-406
Citations number
21
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN journal
00220396 → ACNP
Volume
156
Issue
2
Year of publication
1999
Pages
376 - 406
Database
ISI
SICI code
0022-0396(19990810)156:2<376:PPWNBC>2.0.ZU;2-W
Abstract
We prove existence, uniqueness and regularity of solutions For heat equatio ns with nonlinear boundary conditions. We study these problems with initial data in L-q(Omega), W-1,W-q(Omega), 1 < q < infinity or measures and with critically growing non-linearities. (C) 1999 Academic Press.