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math.AP2024
Sharp order of vanishing for parabolic equations, nodal set estimates and Landis type results
Vedansh Arya, Agnid Banerjee, Nicola Garofalo
We establish a new sharp estimate of the order of vanishing of solutions to parabolic equations with variable coefficients. For real-analytic leading coefficients, we prove a local…
math.AP2024
Hölder Continuity and Harnack estimate for non-homogeneous parabolic equations
Vedansh Arya, Vesa Julin
In this paper we continue the study on intrinsic Harnack inequality for non- homogeneous parabolic equations in non-divergence form initiated by the first author in [1]. We establi…
math.AP2024
Optimal regularity for the variable coefficients parabolic Signorini problem
Vedansh Arya, Wenhui Shi
In this paper we discuss the optimal regularity of the variable coefficient parabolic Signorini problem with coefficients and inhomogeneity, where with $n…