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math.AP2025
On well-posedness for second-order degenerate parabolic equations with unbounded lower-order terms
Khalid Baadi
In this paper, we establish the well-posedness of Cauchy problems for weak solutions to second-order degenerate parabolic equations with a non-smooth, time-dependent degenerate ell…
math.AP2025
On Hardy-Littlewood-Sobolev estimates for degenerate Laplacians
Pascal Auscher, Khalid Baadi
We establish norm inequalities for fractional powers of degenerate Laplacians, with degeneracy being determined by weights in the Muckenhoupt class , accompanied…
math.AP2025
Degenerate parabolic equations in divergence form: fundamental solution and Gaussian bounds
Khalid Baadi
In this paper, we consider second order degenerate parabolic equations with complex, measurable, and time-dependent coefficients. The degenerate ellipticity is dictated by a spatia…