30 citations · 87 across the 11 of their papers we have counts for
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math.AP2012
Local approximation of superharmonic and superparabolic functions in nonlinear potential theory
Juha Kinnunen, Teemu Lukkari, Mikko Parviainen
We prove that arbitrary superharmonic functions and superparabolic functions related to the -Laplace and the -parabolic equations are locally obtained as limits of supersolut…
math.AP2012★ 3 cited
Stability of solutions to nonlinear diffusion equations
Teemu Lukkari
We prove stability results for nonlinear diffusion equations of the porous medium and fast diffusion types with respect to the nonlinearity power : solutions with fixed data con…
math.AP2012★ 13 cited
Webster's equation with curvature and dissipation
Teemu Lukkari, Jarmo Malinen
Wave propagation in curved tubular domains is considered. A general version of Webster's equation is derived from the scattering passive wave equation. More precisely, it is shown…