Existence of weak solutions for a degenerate Goursat type linear problem
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916487044792320 |
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| author | Miyagaki, Olimpio Hiroshi Peña, Carlos Alberto Reyes Rodrigues, Rodrigo da Silva |
| author_facet | Miyagaki, Olimpio Hiroshi Peña, Carlos Alberto Reyes Rodrigues, Rodrigo da Silva |
| contents | For a generalization of the Gellerstedt operator with mixed-type Dirichlet boundary conditions to a suitable Tricomi domain, we prove the existence and uniqueness of weak solutions of the linear problem and for a generalization of this problem. The classical method introduced by Didenko, which study the energy integral argument, will be used to prove estimates for a specific Tricomi domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_12116 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence of weak solutions for a degenerate Goursat type linear problem Miyagaki, Olimpio Hiroshi Peña, Carlos Alberto Reyes Rodrigues, Rodrigo da Silva Analysis of PDEs Functional Analysis For a generalization of the Gellerstedt operator with mixed-type Dirichlet boundary conditions to a suitable Tricomi domain, we prove the existence and uniqueness of weak solutions of the linear problem and for a generalization of this problem. The classical method introduced by Didenko, which study the energy integral argument, will be used to prove estimates for a specific Tricomi domain. |
| title | Existence of weak solutions for a degenerate Goursat type linear problem |
| topic | Analysis of PDEs Functional Analysis |
| url | https://arxiv.org/abs/2411.12116 |