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20102025
most citedOn the Optimal Control of the Free Boundary Problems for the Second Order Parabolic Equations. I.Well-posedness and Convergence of the Method of Lines

16 citations · 106 across the 27 of their papers we have counts for

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Showing 2016 · math.APShow all

3 papers · 2 filters

math.AP2016★ 9 cited

Evolution of Interfaces for the Nonlinear Parabolic p-Laplacian Type Reaction-Diffusion Equations

Ugur G. Abdulla, Roqia Jeli

We present a full classification of the short-time behaviour of the interfaces and local solutions to the nonlinear parabolic -Laplacian type reaction-diffusion equation of non-…

math.AP2016★ 7 cited

Frechet Differentiability in Besov Spaces in the Optimal Control of Parabolic Free Boundary Problems

Ugur G. Abdulla, Jonathan Goldfarb

We consider the inverse Stefan type free boundary problem, where information on the boundary heat flux and density of the sources are missing and must be found along with the tempe…

math.AP2016★ 1 cited

The Wiener Test for the Removability of the Logarithmic Singularity for the Elliptic PDEs with Measurable Coefficients and Its Consequences

Ugur G. Abdulla

This paper introduces the notion of -regularity (or -irregularity) of the boundary point (possibly ) of the arbitrary open subset of the Greenian delete…