FURTHER RESULTS ON AN UNKNOWN COEFFICIENT IN A PARABOLIC DIFFERENTIAL EQUATION
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1961
- Accession Number
- AD0264429
Entities
People
- B. Frank Jr. Jones
Organizations
- Rice University