The Kato square root problem for weighted parabolic operators
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Publication:6657471
DOI10.2140/apde.2025.18.141MaRDI QIDQ6657471
Moritz Egert, Kaj Nyström, Alireza Ataei
Publication date: 6 January 2025
Published in: Analysis \& PDE (Search for Journal in Brave)
fractional derivativesMuckenhoupt weightsKato square root problemsquare function estimatessecond-order parabolic operators
Maximal functions, Littlewood-Paley theory (42B25) Fractional derivatives and integrals (26A33) Linear accretive operators, dissipative operators, etc. (47B44) Second-order parabolic equations (35K10) Harmonic analysis and PDEs (42B37)
Cites Work
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- Square function estimates and the Kato problem for second order parabolic operators in \(\mathbb{R}^{n + 1}\)
- On non-autonomous maximal regularity for elliptic operators in divergence form
- Boundedness of single layer potentials associated to divergence form parabolic equations with complex coefficients
- Hitchhiker's guide to the fractional Sobolev spaces
- Weighted maximal regularity estimates and solvability of non-smooth elliptic systems. I
- Analyticity of layer potentials and \(L^{2}\) solvability of boundary value problems for divergence form elliptic equations with complex \(L^{\infty }\) coefficients
- \(L^{2}\) solvability of boundary value problems for divergence form parabolic equations with complex coefficients
- Gaussian bounds for degenerate parabolic equations
- A remark on a Harnack inequality for dengerate parabolic equations
- Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
- Espaces d'interpolation et domaines de puissances fractionnaires d'opérateurs
- On the Kato problem and extensions for degenerate elliptic operators
- Non-autonomous maximal regularity in Hilbert spaces
- Representation and uniqueness for boundary value elliptic problems via first order systems
- The \(L^p\) Neumann problem for the heat equation in non-cylindrical domains
- The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
- Weighted maximal regularity estimates and solvability of nonsmooth elliptic systems. II
- The square root of a parabolic operator
- On local regularity estimates for fractional powers of parabolic operators with time-dependent measurable coefficients
- The Dirichlet problem for elliptic operators having a BMO anti-symmetric part
- \(L^2\) well-posedness of boundary value problems for parabolic systems with measurable coefficients
- Carleson measure estimates and the Dirichlet problem for degenerate elliptic equations
- The functional calculus for sectorial operators
- The solution of the Kato problem for degenerate elliptic operators with Gaussian bounds
- The Kato square root problem on submanifolds
- Boundary value problems for degenerate elliptic equations and systems
- The Dirichlet problem for second order parabolic operators in divergence form
- Elliptic Boundary Value Problems with Fractional Regularity Data
- Kato square root problem with unbounded leading coefficients
- The Kato problem for operators with weighted ellipticity
- The heat kernel of a Schrödinger operator with inverse square potential
- Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators
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