95 citations · 131 across the 24 of their papers we have counts for
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math.AP2022★ 1 cited
Green's function estimates for a 2d singularly perturbed convection-diffusion problem: extended analysis
Sebastian Franz, Natalia Kopteva
This paper presents an extended version of the article [Franz, S., Kopteva, N.: J. Differential Equations, 252 (2012)]. The main improvement compared to the latter is in that here…
math.AP2022
Maximum principle for time-fractional parabolic equations with a reaction coefficient of arbitrary sign
Natalia Kopteva
We consider time-fractional parabolic equations with a Caputo time derivative of order . For such equations, we give an elementary proof of the weak maximum principle un…
math.AP2009★ 1 cited
Some asymptotic expansions for a semilinear reaction-diffusion problem in a sector
R. Bruce Kellogg, Natalia Kopteva
A semilinear singularly perturbed reaction-diffusion equation with Dirichlet boundary conditions is considered in a convex unbounded sector. The singular perturbation parameter is…