Rothe method for a mixed problem with an integral condition for the two‐dimensional diffusion equation
Rothe method for a mixed problem with an integral condition for the two‐dimensional diffusion equation
This paper deals with an initial boundary value problem with an integral condition for the two‐dimensional diffusion equation. Thanks to an appropriate transformation, the study of the given problem is reduced to that of a one‐dimensional problem. Existence, uniqueness, and continuous dependence upon data of a weak solution of this …