Existence of stationary solutions for some integro-differential equations with the double scale anomalous diffusion
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915039687999488 |
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| author | Vougalter, Vitali Volpert, Vitaly |
| author_facet | Vougalter, Vitali Volpert, Vitaly |
| contents | The paper is devoted to the investigation of the solvability of an integro-differential equation in the case of the double scale anomalous diffusion with a sum of two negative Laplacians in different fractional powers in R^3. The proof of the existence of solutions relies on a fixed point technique. Solvability conditions for the elliptic operators without the Fredholm property in unbounded domains are used. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19383 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence of stationary solutions for some integro-differential equations with the double scale anomalous diffusion Vougalter, Vitali Volpert, Vitaly Analysis of PDEs Mathematical Physics 35R11, 35P30, 45K05 The paper is devoted to the investigation of the solvability of an integro-differential equation in the case of the double scale anomalous diffusion with a sum of two negative Laplacians in different fractional powers in R^3. The proof of the existence of solutions relies on a fixed point technique. Solvability conditions for the elliptic operators without the Fredholm property in unbounded domains are used. |
| title | Existence of stationary solutions for some integro-differential equations with the double scale anomalous diffusion |
| topic | Analysis of PDEs Mathematical Physics 35R11, 35P30, 45K05 |
| url | https://arxiv.org/abs/2411.19383 |