TITLE:
Problem of Determining the Two-Dimensional Absorption Coefficient in a Hyperbolic-Type Equation
AUTHORS:
Durdimurat K. Durdiev
KEYWORDS:
Inverse Problem, Hyperbolic Equation, Delta Function, Local Solvability
JOURNAL NAME:
Applied Mathematics,
Vol.1 No.2,
July
22,
2010
ABSTRACT: The problem of determining the hyperbolic equation coefficient on two variables is considered. Some additional information is given by the trace of the direct problem solution on the hyperplane x = 0. The theorems of local solvability and stability of the solution of the inverse problem are proved.