Some Problems in Nonlinear Analysis
Final rept. 1 Jun 1987-31 Jan 1989
Pagination or Media Count:
A program for obtaining the basic results of Katos theory of quasilinear evolution equations was obtained by the simpler methods of nonlinear semigroup theory implicit differencing in time. Certain classes of parabolic and Hamilton-Jacobi equations show the existence and uniqueness of solutions if initial boundary value problems with singular e.g., identically infinite initial data and the continuous dependence of these singular solutions as the diffusion coefficient tends to zero. This work shows how certain pde questions motivated by the theory of large deviations can be treated in greater generality and provides a certain abstract framework for this as well as concrete estimates.
- Theoretical Mathematics