Square function estimates and the Kato problem for second order parabolic operators in \(\mathbb{R}^{n + 1}\)

DOI10.1016/j.aim.2016.02.006zbMath1339.35138OpenAlexW1860469354MaRDI QIDQ261160

Kaj Nyström

Publication date: 22 March 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2016.02.006

zbMATH Keywords

Carleson measurecomplex coefficientssquare rootKato problemsecond order parabolic operatorsquare function estimate

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Second-order parabolic equations (35K10) Harmonic analysis and PDEs (42B37)

Related Items (10)

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 ⋮ The Dirichlet problem for second order parabolic operators in divergence form ⋮ On Kato square root problem for a parabolic operator and applications ⋮ \(L^2\) well-posedness of boundary value problems for parabolic systems with measurable coefficients ⋮ \(L^{2}\) solvability of boundary value problems for divergence form parabolic equations with complex coefficients ⋮ On the fine properties of parabolic measures associated to strongly degenerate parabolic operators of Kolmogorov type ⋮ The square root of a parabolic operator ⋮ On local regularity estimates for fractional powers of parabolic operators with time-dependent measurable coefficients ⋮ Commutator estimates for the Dirichlet-to-Neumann map associated to parabolic equations with complex-valued and measurable coefficients on \(\mathbb{R}_+^{n + 2} \)

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