The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics

Abstract

The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics is studied. A priori estimates for the solutions of the considered problems are obtained by using the method of energy inequalities. Uniqueness and continuous dependence of the solutions on the input data follow from these estimates.

Keywords

• nonlocal boundary value problem
• equations of mathematical physics
• a priori estimates for solutions