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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2013
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1311.7643 |
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| _version_ | 1866917893176819712 |
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| author | Barrionuevo, Jose A. Oliveira, Lucas S. Zíngano, Paulo. R. |
| author_facet | Barrionuevo, Jose A. Oliveira, Lucas S. Zíngano, Paulo. R. |
| contents | We derive general bounds for the large time size of supnorm values of solutions to one-dimensional advection-diffusion equations with initial data in Lp0 (R) \cap L1 for some 1 <= p0 < \infty, and arbitrary bounded advection speeds b(x, t), introducing techniques based on suitable energy arguments. Some open problems and related results are also given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1311_7643 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | General asymptotic supnorm estimates for solutions of one-dimensional advection-diffusion equations in heterogeneous media, I Barrionuevo, Jose A. Oliveira, Lucas S. Zíngano, Paulo. R. Analysis of PDEs We derive general bounds for the large time size of supnorm values of solutions to one-dimensional advection-diffusion equations with initial data in Lp0 (R) \cap L1 for some 1 <= p0 < \infty, and arbitrary bounded advection speeds b(x, t), introducing techniques based on suitable energy arguments. Some open problems and related results are also given. |
| title | General asymptotic supnorm estimates for solutions of one-dimensional advection-diffusion equations in heterogeneous media, I |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/1311.7643 |