A Mixed Problem with an Integral Two-Space-Variables Condition for Parabolic Equation with The Bessel Operator

الملخص EN

We study a mixed problem with an integral two-space-variables condition for parabolic equation with the Bessel operator.

The existence and uniqueness of the solution in functional weighted Sobolev space are proved.

The proof is based on a priori estimate “energy inequality” and the density of the range of the operator generated by the problem considered.