1 citations · 1 across the 6 of their papers we have counts for
6 papers
A boundedness result for degenerate parabolic Riesz transforms with rough coefficients
Khalid Baadi
In this paper, we prove a boundedness result for parabolic Riesz transforms in the range associated with degenerate parabolic operators whose elliptic part is in divergen…
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…
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…
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…
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…
Fundamental solutions for parabolic equations and systems: universal existence, uniqueness, representation
Pascal Auscher, Khalid Baadi
In this paper, we develop a universal, conceptually simple and systematic method to prove well-posedness to Cauchy problems for weak solutions of parabolic equations with non-smoot…