Existence of stationary solutions for some systems of integro-differential equations with Laplace and bi-Laplace operators
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910169406898176 |
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| author | Vougalter, Vitali Volpert, Vitaly |
| author_facet | Vougalter, Vitali Volpert, Vitaly |
| contents | The article is devoted to the solvability of a system of integro-differential equations in the case of the difference of the standard Laplacian and the bi-Laplacian in the diffusion terms. The proof of the existence of solutions is based on a fixed point technique. We use the solvability conditions for the elliptic operators without the Fredholm property in unbounded domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_24327 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Existence of stationary solutions for some systems of integro-differential equations with Laplace and bi-Laplace operators Vougalter, Vitali Volpert, Vitaly Analysis of PDEs 35J61, 35J30, 35A01 The article is devoted to the solvability of a system of integro-differential equations in the case of the difference of the standard Laplacian and the bi-Laplacian in the diffusion terms. The proof of the existence of solutions is based on a fixed point technique. We use the solvability conditions for the elliptic operators without the Fredholm property in unbounded domains. |
| title | Existence of stationary solutions for some systems of integro-differential equations with Laplace and bi-Laplace operators |
| topic | Analysis of PDEs 35J61, 35J30, 35A01 |
| url | https://arxiv.org/abs/2604.24327 |