A Boundary Value Problem with Multivariables Integral Type Condition for Parabolic Equations

الملخص EN

We study a boundary value problem with multivariables integral type condition for a class of parabolic equations.

We prove the existence, uniqueness, and continuous dependence of the solution upon the data in the functional wieghted Sobolev spaces.

Results are obtained by using a functional analysis method based on two-sided a priori estimates and on the density of the range of the linear operator generated by the considered problem.