Doubly nonlinear diffusive PDEs: new existence results via generalized Wasserstein gradient flows
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866917736412610560 |
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| author | Caillet, Thibault Santambrogio, Filippo |
| author_facet | Caillet, Thibault Santambrogio, Filippo |
| contents | We prove an existence result for a large class of PDEs with a nonlinear Wasserstein gradient flow structure. We use the classical theory of Wasserstein gradient flow to derive an EDI formulation of our PDE and prove that under some integrability assumptions on the initial condition the PDE is satisfied in the sense of distributions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02882 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Doubly nonlinear diffusive PDEs: new existence results via generalized Wasserstein gradient flows Caillet, Thibault Santambrogio, Filippo Analysis of PDEs Optimization and Control We prove an existence result for a large class of PDEs with a nonlinear Wasserstein gradient flow structure. We use the classical theory of Wasserstein gradient flow to derive an EDI formulation of our PDE and prove that under some integrability assumptions on the initial condition the PDE is satisfied in the sense of distributions. |
| title | Doubly nonlinear diffusive PDEs: new existence results via generalized Wasserstein gradient flows |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/2402.02882 |