On the regularity of continuous solutions to multidimensional scalar conservation laws with bounded source
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915472688021504 |
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| author | Ancona, Fabio Caravenna, Laura Cliffe, Alexander J. Marconi, Elio |
| author_facet | Ancona, Fabio Caravenna, Laura Cliffe, Alexander J. Marconi, Elio |
| contents | We prove the Hölder regularity of continuous isentropic solutions to multi-dimensional scalar balance laws when the source term is bounded and the flux satisfies general assumptions of nonlinearity. The results are achieved by exploiting the kinetic formulation of the balance law. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00977 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the regularity of continuous solutions to multidimensional scalar conservation laws with bounded source Ancona, Fabio Caravenna, Laura Cliffe, Alexander J. Marconi, Elio Analysis of PDEs 35L60, 35L65, 35B65 We prove the Hölder regularity of continuous isentropic solutions to multi-dimensional scalar balance laws when the source term is bounded and the flux satisfies general assumptions of nonlinearity. The results are achieved by exploiting the kinetic formulation of the balance law. |
| title | On the regularity of continuous solutions to multidimensional scalar conservation laws with bounded source |
| topic | Analysis of PDEs 35L60, 35L65, 35B65 |
| url | https://arxiv.org/abs/2509.00977 |