Research Article Open Access

An Integral Two Space-Variables Condition for Parabolic Equations

A. L. Marhoune1 and F. Lakhal2
  • 1 University Mentouri Constantine, Algeria
  • 2 University 08 Mai 45, Algeria

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.

Journal of Mathematics and Statistics
Volume 8 No. 2, 2012, 185-190

DOI: https://doi.org/10.3844/jmssp.2012.185.190

Submitted On: 7 February 2012 Published On: 12 March 2012

How to Cite: 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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Keywords

  • Integral boundary two space-variables condition
  • energy inequalities
  • weighted sobolev spaces