The Kato square root problem on an arbitrary domain of $\mathbb{R}^d$

Julan Bailey; El Maati Ouhabaz

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arXiv · 1902.01101

The Kato square root problem on an arbitrary domain of $\mathbb{R}^d$

Julan Bailey·El Maati Ouhabaz

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Abstract

We solve the Kato square root problem for general elliptic operators and systems with measurable and complex coefficients on any domain of the Euclidean space. The operators are subject to Dirichlet boundary conditions. We also allow perturbations by general complex potentials.

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Julan Bailey, El Maati Ouhabaz. 2019-02-04. The Kato square root problem on an arbitrary domain of $\mathbb{R}^d$. https://arxiv.org/abs/1902.01101

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