The heat equation in L-q((O, T), L-p)-spaces with weights

Authors
Krylov, NV
Citation
Nv. Krylov, The heat equation in L-q((O, T), L-p)-spaces with weights, SIAM J MATH, 32(5), 2001, pp. 1117-1141
Citations number
12
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN journal
00361410 → ACNP
Volume
32
Issue
5
Year of publication
2001
Pages
1117 - 1141
Database
ISI
SICI code
0036-1410(20010221)32:5<1117:THEILT>2.0.ZU;2-K
Abstract
Existence and uniqueness theorems are presented for the heat equation in L- p-spaces with or without weights allowing derivatives of solutions to blow up near the boundary. It is allowed for the powers of summability with resp ect to space and time variables to be different.