TY  - JOUR
AU  - Marhoune, A. L. 
AU  - Lakhal, F. 
PY  - 2012
TI  - An Integral Two Space-Variables Condition for Parabolic Equations
JF  - Journal of Mathematics and Statistics
VL  - 8
IS  - 2
DO  - 10.3844/jmssp.2012.185.190
UR  - https://thescipub.com/abstract/jmssp.2012.185.190
AB  - 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.