On the existence of solutions for a class of systems of integro-differential equations with the logarithmic Laplacian and drift
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929383512473600 |
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| author | Chen, Yuming Vougalter, Vitali |
| author_facet | Chen, Yuming Vougalter, Vitali |
| contents | In this article, we consider a system of integro-differential equations in L^2(R, R^N), which contains the logarithmic Laplacian in the presence of transport terms. The linear operators associated with the system satisfy the Fredholm property. By virtue of a fixed point technique, we demonstrate the existence of solutions. We emphasize that the discussion is more complicated than that of the scalar situation as there are more cumbersome technicalities to overcome. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08325 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the existence of solutions for a class of systems of integro-differential equations with the logarithmic Laplacian and drift Chen, Yuming Vougalter, Vitali Analysis of PDEs 35P05, 45K05, 47G20 In this article, we consider a system of integro-differential equations in L^2(R, R^N), which contains the logarithmic Laplacian in the presence of transport terms. The linear operators associated with the system satisfy the Fredholm property. By virtue of a fixed point technique, we demonstrate the existence of solutions. We emphasize that the discussion is more complicated than that of the scalar situation as there are more cumbersome technicalities to overcome. |
| title | On the existence of solutions for a class of systems of integro-differential equations with the logarithmic Laplacian and drift |
| topic | Analysis of PDEs 35P05, 45K05, 47G20 |
| url | https://arxiv.org/abs/2406.08325 |