Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 281-316 |
| Number of pages | 36 |
| Journal | Applied Mathematics & Optimization |
| Volume | 32 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1995 Nov |
| Externally published | Yes |
Keywords
- AMS classification: Primary 35A10, 35K55, 35K60, 93C10, 93C20
- Boundary control
- Nonlinear
- Parabolic
- Semilinear
ASJC Scopus subject areas
- Control and Optimization
- Applied Mathematics
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