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math.AP2026
A nonlinear Li-Yau inequality and its consequences
Agnid Banerjee, Nicola Garofalo, Hamidreza Mahmoudian
We prove a sharp nonlinear analogue of the Li-Yau inequality for positive solutions of the normalized parabolic -Laplacian equation \[ u_t = Δu + (p-2)|\nabla u|^{-2}\nabla^2u(\…
math.AP2026
Quantitative uniqueness for parabolic equations with Hölder potentials
Agnid Banerjee, Nicola Garofalo
In this note we derive a space-like quantitative uniqueness result for parabolic operators with Hölder zero-order term that interpolates between the Donnelly-Fefferman and the Bour…
math.AP2026
A strong unique continuation result for the Baouendi operator
Agnid Banerjee, Nicola Garofalo
We establish a strong unique continuation property for the subelliptic Baouendi operator under the presence of zero-order perturbations satisfying an almost Hardy-type growth condi…