Optimal Schauder estimates for parabolic problems with data measurable with respect to time

Authors
Lorenzi, L
Citation
L. Lorenzi, Optimal Schauder estimates for parabolic problems with data measurable with respect to time, SIAM J MATH, 32(3), 2000, pp. 588-615
Citations number
16
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN journal
00361410 → ACNP
Volume
32
Issue
3
Year of publication
2000
Pages
588 - 615
Database
ISI
SICI code
0036-1410(20001023)32:3<588:OSEFPP>2.0.ZU;2-Z
Abstract
We prove some optimal Schauder estimates for the solution to second-order p arabolic equations with coefficients which are measurable with respect to t ime and Holder continuous with respect to space variables in the strip [0, T] x R-n. We allow also polynomially or exponentially weighted Holder norms .