Initial-boundary value problems for a class of pseudoparabolic equations with integral boundary conditions

摘要

In this paper, we deal with a class of pseudoparabolic problems with integral boundary conditions. We will first establish an a priori estimate. Then, we prove the existence, uniqueness and continuous dependence of the solution upon the data. Finally, some extensions of the problem are given. (C) 2003 Published by Elsevier Inc. [References: 18]