Abstract and Applied Analysis
Volume 7 (2002), Issue 10, Pages 517-530
doi:10.1155/S1085337502206041

On three-point boundary value problem with a weighted integral condition for a class of singular parabolic equations

Abstract

We deal with a three point boundary value problem for a class of singular parabolic equations with a weighted integral condition in place of one of standard boundary conditions. We will first establish an a priori estimate in weighted spaces. Then, we prove the existence, uniqueness, and continuous dependence of a strong solution.