16 citations · 106 across the 27 of their papers we have counts for
28 papers
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…
Cancer Detection via Electrical Impedance Tomography and Optimal Control of Elliptic PDEs
Ugur G. Abdulla, Jose H. Rodrigues
We pursue a computational analysis of the biomedical problem on the identification of the cancerous tumor at an early stage of development based on the Electrical Impedance Tomogra…
Quantum Optimal Control for Coherent Spin Dynamics of Radical Pairs via Pontryagin Maximum Principle
Ugur G. Abdulla, Jose H. Rodrigues, Jean-Jacques Slotine
This paper aims to devise the shape of the external electromagnetic field that drives the spin dynamics of radical pairs to a quantum coherent state through maximization of the tri…
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…
Removability of the Fundamental Singularity for the Heat Equation and its Consequences. I. Kolmogorov-Petrovsky-type test
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…
Generalized Newton-Leibniz Formula and the Embedding of the Sobolev Functions with Dominating Mixed Smoothness into Hölder Spaces
Ugur G. Abdulla
It is well-known that the embedding of the Sobolev space of weakly differentiable functions into Hölder spaces holds if the integrability exponent is higher than the space dimensio…