\(L^p\)-estimates for the square root of elliptic systems with mixed boundary conditions. II

DOI10.1016/J.JDE.2023.09.036arXiv2201.09561OpenAlexW4387629532MaRDI QIDQ6140095

Sebastian Bechtel

Publication date: 19 January 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.09561

zbMATH Keywords

mixed boundary conditionsKato square root problemcomplex elliptic systems of second order

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Second-order elliptic systems (35J47)

Cites Work

• Unnamed Item
• On maximal parabolic regularity for non-autonomous parabolic operators
• The Kato square root problem follows from an extrapolation property of the Laplacian
• The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
• Calderón-Zygmund theory for non-integral operators and the \(H^\infty\) functional calculus
• \(L^p\)-estimates for the square root of elliptic systems with mixed boundary conditions
• The Kato square root problem on locally uniform domains
• The Kato square root problem for mixed boundary conditions
• Interpolation theory for Sobolev functions with partially vanishing trace on irregular open sets
• The square root problem for second-order, divergence form operators with mixed boundary conditions on \(L^p\)
• The functional calculus for sectorial operators
• On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
• Pointwise Hardy inequalities and uniformly fat sets
• Pointwise Hardy inequalities
• THE KATO SQUARE ROOT PROBLEM FOR MIXED BOUNDARY VALUE PROBLEMS
• Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure

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