Moritz Egert

activity

20182026

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3 papers · 1 filter

math.AP2026

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…

math.AP2026

The parabolic Dini- $β$ condition and absolute continuity of surface and caloric measure

Simon Bortz, Moritz Egert, Sandra Ferris +1

We show if $\partial Ω$ is the graph of a parabolic Lipschitz function, then parabolic surface measure $σ$ of $\partial Ω$ is absolutely continuous with respect to its caloric meas…

math.CA2026

$L^{p}$ bounds for parabolic Riesz transforms with rough coefficients: The case $1 < p \leq 2$

Khalid Baadi, Moritz Egert, Benjamin W. Kosmala

We establish the first results on $L^{p}$ bounds for Riesz transforms associated with non-autonomous second order parabolic differential operators in divergence form with bo…

Singular solutions to parabolic equations in one space dimension

The parabolic Dini-β condition and absolute continuity of surface and caloric measure

Lp bounds for parabolic Riesz transforms with rough coefficients: The case 1<p≤2

The parabolic Dini- $β$ condition and absolute continuity of surface and caloric measure

$L^{p}$ bounds for parabolic Riesz transforms with rough coefficients: The case $1 < p \leq 2$