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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2209.04913 |
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| _version_ | 1866914929163894784 |
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| author | Graf, Melanie Kunzinger, Michael Mitrovich, Darko |
| author_facet | Graf, Melanie Kunzinger, Michael Mitrovich, Darko |
| contents | We prove existence of weak solutions to the Cauchy problem corresponding to various strictly parabolic equations on a compact Riemannian manifold $(M,g)$. This also includes strictly parabolic equations with stochastic forcing with linear diffusion. Existence is proved through a variant of the Galerkin method and can be used to construct a convergent finite element method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_04913 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Galerkin-type methods for strictly parabolic equations on compact Riemannian manifolds Graf, Melanie Kunzinger, Michael Mitrovich, Darko Analysis of PDEs We prove existence of weak solutions to the Cauchy problem corresponding to various strictly parabolic equations on a compact Riemannian manifold $(M,g)$. This also includes strictly parabolic equations with stochastic forcing with linear diffusion. Existence is proved through a variant of the Galerkin method and can be used to construct a convergent finite element method. |
| title | Galerkin-type methods for strictly parabolic equations on compact Riemannian manifolds |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2209.04913 |