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The Kato Square Root Problem follows from an extrapolation property of the Laplacian

Moritz Egert , Robert Haller-Dintelmann , Patrick Tolksdorf
Publicacions Matemàtiques, 2016, 60, pp.451-483. ⟨10.5565/PUBLMAT_60216_05⟩
Journal articles hal-03127334v1
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Hardy’s Inequality for Functions Vanishing on a Part of the Boundary

Moritz Egert , Robert Haller-Dintelmann , Joachim Rehberg
Potential Analysis, 2015, 43 (1), pp.49-78. ⟨10.1007/s11118-015-9463-8⟩
Journal articles hal-03127380v1
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Note on time-regularity for weak solutions to parabolic systems of p-Laplace type

Simon Bortz , Moritz Egert , Olli Saari
Proceedings of the American Mathematical Society, 2021, 149 (4), pp.1677-1685. ⟨10.1090/proc/15344⟩
Journal articles hal-02412580v2
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On p-elliptic divergence form operators and holomorphic semigroups

Moritz Egert
Journal of Evolution Equations, 2020, 20 (3), pp.705-724. ⟨10.1007/s00028-019-00537-1⟩
Journal articles hal-01961907v3
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Explicit improvements for Lp-estimates related to elliptic systems

Tim Böhnlein , Moritz Egert
2023
Preprints, Working Papers, ... hal-03978963v1
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The Kato square root problem on locally uniform domains

Sebastian Bechtel , Moritz Egert , Robert Haller-Dintelmann
Advances in Mathematics, 2020, 375, pp.107410. ⟨10.1016/j.aim.2020.107410⟩
Journal articles hal-03318374v1
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Convergence of subdiagonal Padé approximations of C0-semigroups

Moritz Egert , Jan Rozendaal
Journal of Evolution Equations, 2013, 13 (4), pp.875-895. ⟨10.1007/s00028-013-0207-1⟩
Journal articles hal-03127351v1
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Interpolation theory for Sobolev functions with partially vanishing trace on irregular open sets

Sebastian Bechtel , Moritz Egert
Journal of Fourier Analysis and Applications, 2019, 25 (5), pp.2733-2781. ⟨10.1007/s00041-019-09681-1⟩
Journal articles hal-01830708v3
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The Kato Square Root Problem for mixed boundary conditions

Moritz Egert , Robert Haller-Dintelmann , Patrick Tolksdorf
Journal of Functional Analysis, 2014, 267 (5), pp.1419-1461. ⟨10.1016/j.jfa.2014.06.003⟩
Journal articles hal-03127363v1
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Lp-estimates for the square root of elliptic systems with mixed boundary conditions

Moritz Egert
Journal of Differential Equations, 2018, 265 (4), pp.1279-1323. ⟨10.1016/j.jde.2018.04.002⟩
Journal articles hal-01670005v3
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Hardy spaces for boundary value problems of elliptic systems with block structure

Pascal Auscher , Moritz Egert
The Journal of Geometric Analysis, 2021, ⟨10.1007/s12220-021-00608-1⟩
Journal articles hal-03087021v2
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Mixed Boundary Value Problems on Cylindrical Domains

Pascal Auscher , Moritz Egert
Advances in Differential Equations, 2017, 22 (1-2), pp.101-168
Journal articles hal-01224927v2
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Boundary value problems and Hardy spaces for elliptic systems with block structure

Pascal Auscher , Moritz Egert
2020
Preprints, Working Papers, ... hal-03037758v2
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The Dirichlet problem for second order parabolic operators in divergence form

Pascal Auscher , Moritz Egert , Kaj Nyström
Journal de l'École polytechnique — Mathématiques, 2018, 5, pp.407-441. ⟨10.5802/jep.74⟩
Journal articles hal-01391122v3
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Non-local self-improving properties: A functional analytic approach

Pascal Auscher , Simon Bortz , Moritz Egert , Olli Saari
Tunisian Journal of Mathematics, 2019, 1 (2), pp.151-183
Journal articles hal-01572246v2
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Non-local Gehring lemmas in spaces of homogeneous type and applications

Pascal Auscher , Simon Bortz , Moritz Egert , Olli Saari
Journal of Geometric Analysis, 2020, 30 (4), pp.3760--3705. ⟨10.1007/s12220-019-00217-z⟩
Journal articles hal-01557294v2
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On non-autonomous maximal regularity for elliptic operators in divergence form

Pascal Auscher , Moritz Egert
Archiv der Mathematik, 2016, 107 (3), pp.271-284
Journal articles hal-01278498v4
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A universal variational framework for parabolic equations and systems

Pascal Auscher , Moritz Egert
2023
Preprints, Working Papers, ... hal-03879193v3
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Characterizations of Sobolev Functions that vanish on a part of the boundary

Moritz Egert , Patrick Tolksdorf
PDE 2015 -- Theory and Applications of Partial Differential Equations, Nov 2015, Berlin, Germany
Conference papers hal-01368535v1
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On uniqueness results for Dirichlet problems of elliptic systems without DeGiorgi-Nash-Moser regularity

Pascal Auscher , Moritz Egert
Analysis & PDE, 2020, 13 (6), pp.1605-1632. ⟨10.2140/apde.2020.13.1605⟩
Journal articles hal-01495944v2
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On regularity of weak solutions to linear parabolic systems with measurable coefficients

Pascal Auscher , Simon Bortz , Moritz Egert , Olli Saari
Journal de Mathématiques Pures et Appliquées, 2019, 121, pp.216-243
Journal articles hal-01543561v3
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$L^2$ well-posedness of boundary value problems for parabolic systems with measurable coefficients

Pascal Auscher , Moritz Egert , Kaj Nyström
Journal of the European Mathematical Society, 2020, 22 (9), pp.2943-3058. ⟨10.4171/JEMS/980⟩
Journal articles hal-01347502v4