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arXiv · 2604.08017

On a homotopy formula for generalized steady Stokes' operators, associated with the de Rham complex

Ulita Kiseleva·Alexander Shlapunov
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Abstract

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.

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Ulita Kiseleva, Alexander Shlapunov. 2026-04-09. On a homotopy formula for generalized steady Stokes' operators, associated with the de Rham complex. https://arxiv.org/abs/2604.08017

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