A Remark on Semilinear Perturbations of Abstract Parabolic Equations.
Technical summary rept.,
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Pagination or Media Count:
Abstract results are given which apply to semilinear parabolic equations. Simple examples are provided by initial-value problems for semilinear equation like u sub t delta u fu. As applied to this situation, the results show that for suitable f and t greater than 0 the solution ut,phi of the problem with the initial-value phi varies continuously together with its space derivatives as phi varied in a weaker sense - e.g. small perturbations of phi in some L sub P-norms cause small changes in ut,phi in the space on continuously differentiable functions. Author
- Theoretical Mathematics