| Reaction–diffusion in irregular domains UG Abdulla Journal of Differential Equations 164 (2), 321-354, 2000 | 37 | 2000 |
| On the Dirichlet problem for the nonlinear diffusion equation in non-smooth domains UG Abdulla Journal of Mathematical Analysis and Applications 260 (2), 384-403, 2001 | 33 | 2001 |
| Interface development and local solutions to reaction-diffusion equations UG Abdulla, JR King SIAM Journal on Mathematical Analysis 32 (2), 235-260, 2000 | 33 | 2000 |
| On the optimal control of the free boundary problems for the second order parabolic equations. I. well-posedness and convergence of the method of lines UG Abdulla Inverse Problems and Imaging 7 (2), 307-340, 2013 | 30 | 2013 |
| Well-posedness of the Dirichlet problem for the non-linear diffusion equation in non-smooth domains U Abdulla Transactions of the American Mathematical Society 357 (1), 247-265, 2005 | 30 | 2005 |
| Evolution of interfaces and explicit asymptotics at infinity for the fast diffusion equation with absorption UG Abdulla Nonlinear Analysis-Theory Methods and Applications 50 (4), 541-560, 2002 | 26 | 2002 |
| On the optimal control of the free boundary problems for the second order parabolic equations. II. Convergence of the method of finite differences UG Abdulla Inverse Problems and Imaging 10 (4), 869-898, 2016 | 25 | 2016 |
| Exact local estimates for the supports of solutions in problems for non-linear parabolic equations UG Abdullaev Sbornik: Mathematics 186 (8), 1085-1106, 1995 | 23 | 1995 |
| First boundary value problem for the diffusion equation i. iterated logarithm test for the boundary regularity and solvability UG Abdulla SIAM journal on mathematical analysis 34 (6), 1422-1434, 2003 | 22 | 2003 |
| Fréchet differentiability in Besov spaces in the optimal control of parabolic free boundary problems UG Abdulla, JM Goldfarb Journal of Inverse and Ill-Posed Problems 26 (2), 211-227, 2018 | 20 | 2018 |
| Multidimensional Kolmogorov-Petrovsky test for the boundary regularity and irregularity of solutions to the heat equation UG Abdulla Boundary Value Problems 2005, 1-19, 2005 | 20 | 2005 |
| Instantaneous shrinking of the support of solutions to a nonlinear degenerate parabolic equation UG Abdullaev Mathematical Notes 63 (3), 285-292, 1998 | 20 | 1998 |
| Evolution of interfaces for the non-linear parabolic p-Laplacian type reaction–diffusion equations UG Abdulla, R Jeli European Journal of Applied Mathematics 28 (5), 827-853, 2017 | 19* | 2017 |
| On the Frechet Differentiability in Optimal Control of Coefficients in Parabolic Free Boundary Problems UG Abdulla, E Cosgrove, J Goldfarb Evolution Equations and Control Theory 6 (3), 319-344, 2017 | 18 | 2017 |
| Cancer detection through Electrical Impedance Tomography and optimal control theory: Theoretical and computational analysis UG Abdulla, V Bukshtynov, S Seif Mathematical Biosciences and Engineering 18 (4), 4834-4859, 2021 | 17 | 2021 |
| Reaction–diffusion in a closed domain formed by irregular curves UG Abdulla Journal of Mathematical Analysis and Applications 246 (2), 480-492, 2000 | 17 | 2000 |
| Optimal control of the multiphase stefan problem UG Abdulla, B Poggi Applied Mathematics & Optimization 80 (2), 479-513, 2019 | 16 | 2019 |
| Wiener's criterion at for the heat equation UG Abdulla | 14 | 2008 |
| Wiener’s criterion for the unique solvability of the Dirichlet problem in arbitrary open sets with non-compact boundaries UG Abdulla Nonlinear Analysis: Theory, Methods & Applications 67 (2), 563-578, 2007 | 14 | 2007 |
| Local structure of solutions of the Dirichlet problem for -dimensional reaction-diffusion equations in bounded domains UG Abdulla | 14 | 1999 |
