Local well-posedness for the nonlinear heat and Schrödinger equations with nonlinear Wentzell boundary conditions on time-dependent compact Riemannian manifolds
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910523145060352 |
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| author | Marta, Alessio |
| author_facet | Marta, Alessio |
| contents | We prove a local well-posedness result for the semilinear heat and Schrödinger equations with subcritical nonlinearities posed on a time-dependent compact Riemannian manifold and supplied with a nonlinear dynamical boundary condition of Wentzell type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08628 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local well-posedness for the nonlinear heat and Schrödinger equations with nonlinear Wentzell boundary conditions on time-dependent compact Riemannian manifolds Marta, Alessio Analysis of PDEs We prove a local well-posedness result for the semilinear heat and Schrödinger equations with subcritical nonlinearities posed on a time-dependent compact Riemannian manifold and supplied with a nonlinear dynamical boundary condition of Wentzell type. |
| title | Local well-posedness for the nonlinear heat and Schrödinger equations with nonlinear Wentzell boundary conditions on time-dependent compact Riemannian manifolds |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2407.08628 |