@article {10.3844/jmssp.2012.185.190, article_type = {journal}, title = {An Integral Two Space-Variables Condition for Parabolic Equations}, author = {Marhoune, A. L. and Lakhal, F.}, volume = {8}, year = {2012}, month = {Mar}, pages = {185-190}, doi = {10.3844/jmssp.2012.185.190}, url = {https://thescipub.com/abstract/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.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }