31 citations · 127 across the 24 of their papers we have counts for
32 papers
Singular solutions to parabolic equations in one space dimension
Pascal Auscher, Moritz Egert, Benjamin W. Kosmala
We construct singular weak solutions to scalar, linear, uniformly parabolic equations with complex coefficients in one space dimension. Our examples show that the space-time integr…
The parabolic Dini- condition and absolute continuity of surface and caloric measure
Simon Bortz, Moritz Egert, Sandra Ferris +1
We show if is the graph of a parabolic Lipschitz function, then parabolic surface measure of is absolutely continuous with respect to its caloric meas…
bounds for parabolic Riesz transforms with rough coefficients: The case
Khalid Baadi, Moritz Egert, Benjamin W. Kosmala
We establish the first results on bounds for Riesz transforms associated with non-autonomous second order parabolic differential operators in divergence form with bo…
Meyers exponent rules the first-order approach to second-order elliptic boundary value problems
Pascal Auscher, Tim Böhnlein, Moritz Egert
The first-order approach to boundary value problems for second-order elliptic equations in divergence form with transversally independent complex coefficients in the upper half-spa…
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…
A stability result for parabolic measures of operators with singular drifts
Simon Bortz, Moritz Egert, Olli Saari
We study the operator \[ \partial_t - \text{div} A \nabla + B \cdot \nabla \] in parabolic upper-half-space, where is an elliptic matrix satisfying an oscillation condition and…