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