Nonlocal Multipoint (In Time) Problem for Parabolic Equations with Degeneration

Resumo

We consider a boundary-value multipoint (in time) problem with Dirichlet condition for a second-order parabolic equation with power singularities and degenerations of any order in coefficients with respect to spatial variables in a certain set of points. The conditions of existence and uniqueness of the solution of the posed problem in Hölder spaces with power weight are established.