Numerical Solution of I11 Posed Problems in Partial Differential Equations.
Annual technical rept. 1 Oct 84-30 Sep 85,
IOWA STATE UNIV AMES DEPT OF MATHEMATICS
Pagination or Media Count:
Research was undertaken on questions concerning the existence, uniqueness, continuous data dependence and numerical computations of solutions of various ill posed problems in partial differential equations. It was shown that a potential well theory is possible for certain hyperbolic problems in which a nonlinear boundary condition is prescribed and not possible in certain cases when the forcing term in the differential equation is singular. Several papers were accepted or submitted during this period. Examples of titles are Inequalities between Dirichlet and Neumann eigenvalues, and A potential well theory for the heat equation with a nonlinear boundary condition. Keywords Partial differential equations Hyperbolic problems Continuous data. Author
- Theoretical Mathematics