An existence and uniqueness result using bounded variation estimates in Galerkin approximations
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866909469717299200 |
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| author | Mondal, Ramesh Sengupta, Aditi |
| author_facet | Mondal, Ramesh Sengupta, Aditi |
| contents | Bounded variation estimates of Galerkin approximations are established in order to extract an almost everywhere convergent subsequence of Galerkin approximations. As a result we prove existence of weak solutions of initial boundary value problems for quasilinear parabolic equations. Uniqueness of weak solutions is derieved applying a standard argument. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_09959 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An existence and uniqueness result using bounded variation estimates in Galerkin approximations Mondal, Ramesh Sengupta, Aditi Analysis of PDEs Bounded variation estimates of Galerkin approximations are established in order to extract an almost everywhere convergent subsequence of Galerkin approximations. As a result we prove existence of weak solutions of initial boundary value problems for quasilinear parabolic equations. Uniqueness of weak solutions is derieved applying a standard argument. |
| title | An existence and uniqueness result using bounded variation estimates in Galerkin approximations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2312.09959 |