Accession Number : AD0264428

Title :   AN EXPLICIT FORMULA FOR 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 : Let the heat equation, (du/dt) equals a(t)(d(du/dx)), be satisfied in a semi-infinite medium (x positive), where both a(t) and u(x,t) are unknown. If u(x,o) equals o, u(o,t) equals f(t) (where f is constant), and -a(t) (du/dt)(o,t) equals g(t), then under certain conditions on g(t), there is exactly one pair a(t), u(x,t) satisfying the differential equation and the boundary and initial conditions. Also, an explicit formula gives a(t) in terms of g(v), for v less than or equal to t.

Descriptors :   *PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENTIAL EQUATIONS, INTEGRAL EQUATIONS, THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE