ONE-SIDED BOUNDARY-VALUE PROBLEM WITH IMPULSIVE CONDITIONS FOR PARABOLIC EQUATIONS WITH DEGENERATION

Abstract

For a second-order parabolic equation, we consider a one-sided boundary-value problem with impulsive conditions with respect to the time variable. The coefficients of equation and the boundary conditions have power singularities of any order in time and space variables on a certain set of points. We also establish conditions for the existence and uniqueness of solution to the posed problem in Hölder spaces with power weights.