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math.CA2023
Initial singularities of positive solutions of the Heat equation on Stratified Lie groups
Utsav Dewan
Let be a stratified Lie group. We estimate the Hausdorff dimension (with respect to the Carnot-Carathéodory metric) of the singular sets in , where…
math.CA2023
Boundary exceptional sets for radial limits of superharmonic functions on non-positively curved Harmonic manifolds of purely exponential volume growth
Utsav Dewan
By classical Fatou type theorems in various setups, it is well-known that positive harmonic functions have non-tangential limit at almost every point on the boundary. In this paper…