Journal of Mathematics and Statistics

An Integral Two Space-Variables Condition for Parabolic Equations

A. L. Marhoune and F. Lakhal

DOI : 10.3844/jmssp.2012.185.190

Journal of Mathematics and Statistics

Volume 8, Issue 2

Pages 185-190

Abstract

In this study, an integral two space-variables condition for a class of parabolic equations. The existence and uniqueness of the solution in the functional weighted Sobolev space were proved. The proof is based on two-sided a priori estimates and on the density of the range of the operator generated by the considered problem.

Copyright

© 2012 A. L. Marhoune and F. Lakhal. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.