Uniqueness of solutions to boundary-value problems for the biharmonic equation in a ball

Abstract

In this article we study a generalized third boundary-value problem for homogeneous biharmonic equation in a unit ball with general boundary operators up to third order inclusively, containing normal derivatives and Laplacian. A uniqueness theorem for the solution is proved, and some examples are given.

Keywords

• Biharmonic equation
• boundary value problem
• Laplace operator