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math.AP2026
Calderón-Zygmund estimates for parabolic systems with -growth and non-divergence data
Pêdra Andrade, Kristian Moring
We obtain Calderón--Zygmund estimates for weak solutions to nonlinear parabolic systems with polynomial -growth and the right-hand side in non-divergence form. Our approach does…
math.AP2026
Calderón-Zygmund estimates for parabolic -Laplacian systems with non-divergence form right-hand sides
Pêdra Andrade, Verena Bögelein, Frank Duzaar +1
We establish local Calderón-Zygmund type estimates for weak solutions to nonlinear parabolic systems with -growth and VMO coefficients. In particular, we prove that if the right…
math.AP2026
Sharp gradient integrability for -Poisson type equations
Verena Bögelein, Frank Duzaar, Naian Liao +1
We prove local -regularity for weak solutions to fractional -Laplacian type equations with right-hand side . Assuming , , an…