On a homotopy formula for generalized steady Stokes' operators, associated with the de Rham complex
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911578384760832 |
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| author | Kiseleva, Ulita Shlapunov, Alexander |
| author_facet | Kiseleva, Ulita Shlapunov, Alexander |
| contents | We construct left, right and bilateral fundamental solutions for generalized steady Stokes' operators $S$ with smooth coefficients coefficients, associated with the de Rham complex of differentials on differential forms over a domain $X$ in ${\mathbb R}^n$. The investigated operators are Douglis-Nirenberg elliptic under reasonable assumptions. As an immediate corollary we produce a homotopy formula for regular solutions to this operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_08017 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On a homotopy formula for generalized steady Stokes' operators, associated with the de Rham complex Kiseleva, Ulita Shlapunov, Alexander Analysis of PDEs 35A35, 35QXX, 35GXX We construct left, right and bilateral fundamental solutions for generalized steady Stokes' operators $S$ with smooth coefficients coefficients, associated with the de Rham complex of differentials on differential forms over a domain $X$ in ${\mathbb R}^n$. The investigated operators are Douglis-Nirenberg elliptic under reasonable assumptions. As an immediate corollary we produce a homotopy formula for regular solutions to this operator. |
| title | On a homotopy formula for generalized steady Stokes' operators, associated with the de Rham complex |
| topic | Analysis of PDEs 35A35, 35QXX, 35GXX |
| url | https://arxiv.org/abs/2604.08017 |