30 citations · 87 across the 11 of their papers we have counts for
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Acoustic wave guides as infinite-dimensional dynamical systems
Atte Aalto, Teemu Lukkari, Jarmo Malinen
We prove the unique solvability, passivity/conservativity and some regularity results of two mathematical models for acoustic wave propagation in curved, variable diameter tubular…
Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces
Alexandre Almeida, Petteri Harjulehto, Peter Hästö +1
We prove optimal integrability results for solutions of the -Laplace equation in the scale of (weak) Lebesgue spaces. To obtain this, we show that variable exponent Riesz…
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…
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…
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…