Inverse problems for a heat equation in a region with a moving boundary
Abstract
Problems involving the determination of the coefficients of differential equations from some known data of their solutions are sometimes called inverse problems of mathematical physics. A characteristic feature of such problems is their incorrect statement in the classical sense, so that proving the uniqueness of a solution becomes important. In the present paper, two theorems are obtained which define the uniqueness of solutions of two inverse problems for a heat equation in a plane region with a moving boundary.
 Publication:

Ukrainskii Matematicheskii Zhurnal
 Pub Date:
 1975
 Bibcode:
 1975UkMaZ..27..687M
 Keywords:

 Thermal Conductivity;
 Thermodynamic Properties;
 Uniqueness Theorem;
 Volterra Equations;
 Differential Equations;
 Existence Theorems;
 Operators (Mathematics);
 Fluid Mechanics and Heat Transfer