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math.AP2026
Wiener-type Criterion for the Removability of the Fundamental Singularity for the Heat Equation and its Consequences
Ugur G. Abdulla
We prove the necessary and sufficient condition for the removability of the fundamental singularity, and equivalently for the unique solvability of the singular Dirichlet problem f…
math.AP2025
The Wiener Criterion at for Degenerate Elliptic Equations
Ugur G. Abdulla, Denis Brazke
This paper establishes a Wiener criterion at to characterise the unique solvability of the Dirichlet problem for degenerate elliptic equations with power-like weights in a…