Ugur G. Abdulla

Articles in Scholarly Journals [Incomplete List]

  1. 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
  2. Reaction-Diffusion in Nonsmooth and Closed Domains
    Boundary Value Problems, vol. 2007, Article ID 31261, 28 pages, 2007
  3. 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
  4. Kolmogorov problem for the heat equation and its probabilistic counterpart
    Nonlinear Analysis, vol. 63, no. 5-7, pp. 712–724, 2005
  5. 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
  6. Transactions of the American Mathematical Society, vol. 357, no. 01, pp. 247–266, 2005
  7. 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
  8. 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
  9. On the Dirichlet problem for reaction–diffusion equations in non-smooth domains
    Nonlinear Analysis, vol. 47, no. 2, pp. 765–776, 2001
  10. 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
  11. Reaction–Diffusion in Irregular Domains
    Journal of Differential Equations, vol. 164, no. 2, pp. 321–354, 2000
  12. Reaction–Diffusion in a Closed Domain Formed by Irregular Curves?
    Journal of Mathematical Analysis and Applications, vol. 246, no. 2, pp. 480–492, 2000
  13. Interface Development and Local Solutions to Reaction-Diffusion Equations
    SIAM Journal on Mathematical Analysis, vol. 32, no. 2, p. 235, 2000