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Ugur G. Abdulla
Articles in Scholarly Journals [Incomplete List]
Wiener’s criterion for the unique solvability of the Dirichlet problem in arbitrary open sets with non-compact boundaries
Nonlinear Analysis: Theory, Methods & Applications, vol. 67, no. 2, pp. 563–578, 2007
Reaction-Diffusion in Nonsmooth and Closed Domains
Boundary Value Problems, vol. 2007, Article ID 31261, 28 pages, 2007
Necessary and sufficient condition for uniqueness of solution to the first boundary value problem for the diffusion equation in unbounded domains
Nonlinear Analysis, vol. 64, no. 5, pp. 1012–1017, 2006
Kolmogorov problem for the heat equation and its probabilistic counterpart
Nonlinear Analysis, vol. 63, no. 5-7, pp. 712–724, 2005
Multidimensional Kolmogorov-Petrovsky test for the boundary regularity and irregularity of solutions to the heat equation
Boundary Value Problems, vol. 2005, no. 2, pp. 181–199, 2005
Transactions of the American Mathematical Society, vol. 357, no. 01, pp. 247–266, 2005
First Boundary Value Problem for the Diffusion Equation I. Iterated Logarithm Test for the Boundary Regularity and Solvability
SIAM Journal on Mathematical Analysis, vol. 34, no. 6, p. 1422, 2003
Evolution of interfaces and explicit asymptotics at infinity for the fast diffusion equation with absorption
Nonlinear Analysis, vol. 50, no. 4, pp. 541–560, 2002
On the Dirichlet problem for reaction–diffusion equations in non-smooth domains
Nonlinear Analysis, vol. 47, no. 2, pp. 765–776, 2001
On the Dirichlet Problem for the Nonlinear Diffusion Equation in Non-smooth Domains
Journal of Mathematical Analysis and Applications, vol. 260, no. 2, pp. 384–403, 2001
Reaction–Diffusion in Irregular Domains
Journal of Differential Equations, vol. 164, no. 2, pp. 321–354, 2000
Reaction–Diffusion in a Closed Domain Formed by Irregular Curves?
Journal of Mathematical Analysis and Applications, vol. 246, no. 2, pp. 480–492, 2000
Interface Development and Local Solutions to Reaction-Diffusion Equations
SIAM Journal on Mathematical Analysis, vol. 32, no. 2, p. 235, 2000