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20122026
most citedLp-estimates for the square root of elliptic systems with mixed boundary conditions

31 citations · 127 across the 24 of their papers we have counts for

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math.FA2024

A Note on Complex Interpolation of Quasi-Banach Function Spaces

Moritz Egert, Benjamin W. Kosmala

Kalton and Mitrea characterized complex interpolation spaces of quasi-Banach function spaces as Calderón products if both interpolants are separable. We show that one separability…

math.FA2016

On non-autonomous maximal regularity for elliptic operators in divergence form

Pascal Auscher, Moritz Egert

We consider the Cauchy problem for non-autonomous forms inducing elliptic operators in divergence form with Dirichlet, Neumann, or mixed boundary conditions on an open subset $…

math.FA2013

The Kato Square Root Problem for Mixed Boundary Conditions

Moritz Egert, Robert Haller-Dintelmann, Patrick Tolksdorf

We consider the negative Laplacian subject to mixed boundary conditions on a bounded domain. We prove under very general geometric assumptions that slightly above the critical expo…

math.FA2013

The Kato Square Root Problem follows from an Extrapolation Property of the Laplacian

Moritz Egert, Robert Haller-Dintelmann, Patrick Tolksdorf

On a domain we consider second order elliptic systems in divergence form with bounded complex coefficients, realized via a sesquilinear form with domain $…

math.FA2012★ 9 cited

Convergence of subdiagonal Padé approximations of -semigroups

Moritz Egert, Jan Rozendaal

Let be the sequence of subdiagonal Padé approximations of the exponential function. We prove that for the generator of a uniformly bounded …