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