Paper Info
Title
On The Sobolev Space Theory of Parabolic and Elliptic Equations in C1 Domains
Abstract
Existence and uniqueness results are given for second-order parabolic and elliptic equations with variable coefficients in C-1 domains in Sobolev spaces with weights allowing the derivatives of solutions to blow up near the boundary. The "number" of derivatives can be negative and fractional. The coefficients of parabolic equations are only assumed to be measurable in time.
Year
DOI
Venue
2004
10.1137/S0036141003421145
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
DocType
Volume
parabolic equations,C-1 domains,Sobolev spaces with weights
Journal
36
Issue
ISSN
Citations 
2
0036-1410
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Kyeong-Hun Kim100.34
N. V. Krylov2511.53