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The square root of a parabolic operator (Q2046352)

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Language	Label	Description	Also known as
English	The square root of a parabolic operator	scientific article

Statements

scholarly article

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The square root of a parabolic operator (English)

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El Maati Ouhabaz

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The Journal of Fourier Analysis and Applications

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publication date

17 August 2021

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full work available at URL

https://arxiv.org/abs/2006.10326

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zbMATH Keywords

Kato square root property

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maximal regularity

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holomorphic functional calculus

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non-autonomous evolution equations

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MaRDI profile type

MaRDI publication profile

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Lions' maximal regularity problem with \(H^{\frac{1}{2}}\)-regularity in time

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\(L^{p}\)-maximal regularity for nonautonomous evolution equations

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The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).

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\(L^2\) well-posedness of boundary value problems for parabolic systems with measurable coefficients

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Quadratic estimates and functional calculi of perturbed Dirac operators

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Interpolation theory for Sobolev functions with partially vanishing trace on irregular open sets

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The Kato square root problem on locally uniform domains

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General parabolic mixed order systems in \(L_p\) and applications

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On the closedness of the sum of two closed operators

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The Kato square root problem for mixed boundary conditions

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Maximal regularity for non-autonomous evolution equations

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Analysis in Banach Spaces

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J.-L. Lions' problem concerning maximal regularity of equations governed by non-autonomous forms

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Fractional powers of dissipative operators. II

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Equations d'évolution linéaires associées à des semi-groupes de contractions dans les espaces \(L^ p\). (Evolution equations associated to contraction semigroups in \(L^ p\) spaces)

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

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Maximal regularity for non-autonomous Schrödinger type equations

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$H^\infty$-calculus for the sum of non-commuting operators

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00041-021-09863-W

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Sitelinks

Mathematics(1 entry)

mardi Publication:2046352

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