Solvability of a class of integro-differential equations with Laplace and bi-Laplace operators
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866912954270613504 |
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| author | Vougalter, Vitali Volpert, Vitaly |
| author_facet | Vougalter, Vitali Volpert, Vitaly |
| contents | The work deals with the studies of the existence of solutions of an integro-differential equation in the situation of the difference of the standard Laplacian and the bi-Laplacian in the diffusion term. The proof of the existence of solutions relies on a fixed point technique. We use the solvability conditions for the non-Fredholm elliptic operators in unbounded domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_07804 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Solvability of a class of integro-differential equations with Laplace and bi-Laplace operators Vougalter, Vitali Volpert, Vitaly Analysis of PDEs 35J61, 35J10, 35A01 The work deals with the studies of the existence of solutions of an integro-differential equation in the situation of the difference of the standard Laplacian and the bi-Laplacian in the diffusion term. The proof of the existence of solutions relies on a fixed point technique. We use the solvability conditions for the non-Fredholm elliptic operators in unbounded domains. |
| title | Solvability of a class of integro-differential equations with Laplace and bi-Laplace operators |
| topic | Analysis of PDEs 35J61, 35J10, 35A01 |
| url | https://arxiv.org/abs/2603.07804 |