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Generation of homoclinic tangencies by $C^1$-perturbations
Stability of the blow-up time and the blow-up set under perturbations
1. | Departamento de Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, Spain, Spain |
2. | Departamento de Matemática Aplicada, Universidad Carlos III de Madrid, 28911 Leganés, Spain |
3. | IMDEA Matematicas, C-IX, Campus UAM, 28049 Madrid |
We also present several examples. Among them we consider changing the spacial domain in which the heat equation with a power source takes place. We consider rather general perturbations of the domain and show the continuity of the blow-up time. Moreover, we deal with perturbations on the initial condition and on parameters in the equation. Finally, we also present some continuity results for the blow-up set.
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