ON THE RESOLUTION OF A PARABOLIC EQUATION WITH BOUNDED MEASURABLE COEFFICIENTS IN L(Q)(L(P)) SPACES

Authors
LABBAS R MOUSSAOUI M
Citation
R. Labbas et M. Moussaoui, ON THE RESOLUTION OF A PARABOLIC EQUATION WITH BOUNDED MEASURABLE COEFFICIENTS IN L(Q)(L(P)) SPACES, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 323(8), 1996, pp. 889-893
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
323
Issue
8
Year of publication
1996
Pages
889 - 893
Database
ISI
SICI code
0764-4442(1996)323:8<889:OTROAP>2.0.ZU;2-I
Abstract
We give in this Note some results about the existence and uniqueness w ith optimal regularity of solutions in two situations for a parabolic equation in nondivergence form in L(q)(0, T; L(p)(Omega)) where 1 < p, q < infinity by using Lamberton's, results (cf. [6]) in the first cas e and Dore-Venni's results (cf. [4]) in the second case.