We consider null boundary controllability for one-dimensional semilinear heat equations. We obtain null boundary controllability results for semilinear equations when the initial data is bounded continuous and sufficiently small. In this work we also prove a version of the nonlinear Cauchy-Kowalevski theorem.
- AMS classification: Primary 35A10, 35K55, 35K60, 93C10, 93C20
- Boundary control
ASJC Scopus subject areas
- Control and Optimization
- Applied Mathematics