An Integral Two Space-Variables Condition for Parabolic Equations
A. L. Marhoune1 & F. Lakhal2 Show affiliations
- University Mentouri Constantine, Algeria
- University 08 Mai 45, Algeria
Journal of Mathematics and Statistics, Volume 8, Issue 2, pp. 185–190 · doi.org/10.3844/jmssp.2012.185.190
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.
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Marhoune, A. L. & Lakhal, F. (2012). An Integral Two Space-Variables Condition for Parabolic Equations. Journal of Mathematics and Statistics, 8(2), 185–190. https://doi.org/10.3844/jmssp.2012.185.190
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