Investigation of Solvability of the First Boundary-Value Problem for a Parabolic Equation with Incompatibility of Initial and Boundary Data
摘要
The first boundary-value problem for the parabolic equation of the second order under the nonfulfillment of the compatibility conditions of initial and boundary data is studied. Existence, uniqueness, and estimates of the solution are established. It is proved that the solution to the problem is the sum of the Hölder and singular functions that belong to weighted Hölder spaces.