Accession Number : AD0264429

Title :   FURTHER RESULTS ON AN UNKNOWN COEFFICIENT IN A PARABOLIC DIFFERENTIAL EQUATION

Corporate Author : RICE UNIV HOUSTON TEX

Personal Author(s) : JONES,B. FRANK JR.

Report Date : JUL 1961

Pagination or Media Count : 1

Abstract : An unknown coefficient in a parabolic differential equation is investigated by overspecifying the boundary behavior of the system. The parabolic equation du/dt equals a(t)(d(du/dt)), for x between 0 and 1 and for t positive, is studied where both a(k) and u(x,t) are unknown. If initial and boundary values for x(u,t) are specified and if -a(t)(du/dt)(0,t) is specified, then under certain hypotheses there is exactly one pair a(t),u(x,t) satisfying the differential equation and the initial and boundary conditions.

Descriptors :   *PARTIAL DIFFERENTIAL EQUATIONS, INTEGRAL EQUATIONS, OPERATORS (MATHEMATICS), THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE