An Integral Two Space-Variables Condition for Parabolic Equations

2012 Journal of Mathematics and Statistics  
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.
doi:10.3844/jmssp.2012.185.190 fatcat:gdo7hm7vv5dhrj4y7wumu3poti