Abstract
We prove the existence of exact solutions and convergence of numerical (Galerkin) approximations for the semilinear degenerate parabolic problem ut+Lu = F(t,u) and for the degenerate elliptic problem Lu = f where L is a highly singular linear elliptic operator. The class of operators L contains in particular the operators of generalized bi-axially symmetric potential theory.
*Partially supported by DARPA and NSF grant DMS 8401719
*Partially supported by DARPA and NSF grant DMS 8401719
Notes
*Partially supported by DARPA and NSF grant DMS 8401719