EXISTENCE AND UNIQUENESS OF AN INVERSE PROBLEM FOR A WAVE EQUATION WITH DYNAMIC BOUNDARY CONDITION

EXISTENCE AND UNIQUENESS OF AN INVERSE PROBLEM FOR A WAVE EQUATION WITH DYNAMIC BOUNDARY CONDITION

I. Tekin

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Abstract

In this paper, an initial boundary value problem for a wave equation with dynamic boundary condition is considered. Giving an additional condition, a time- dependent coecient is determined and existence and uniqueness theorem for small times is proved.

Keywords

Wave equation, Inverse problem, Fourier method.