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DISCRETE MAXIMAL PARABOLIC REGULARITY FOR GALERKIN FINITE ELEMENT METHODS FOR NONAUTONOMOUS PARABOLIC PROBLEMS.
- Source :
-
SIAM Journal on Numerical Analysis . 2018, Vol. 56 Issue 4, p2178-2202. 25p. - Publication Year :
- 2018
-
Abstract
- The main goal of the paper is to establish time semidiscrete and space-time fully discrete maximal parabolic regularity for the lowest order time discontinuous Galerkin solution of linear parabolic equations with time-dependent coefficients. Such estimates have many applications. As one of the applications we establish best approximations type results with respect to the 퐿푝(0, 푇;퐿2(Ω)) norm for 1 ≤ 푝 ≤ ∞. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00361429
- Volume :
- 56
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Numerical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 131799966
- Full Text :
- https://doi.org/10.1137/17M114100X