30 citations · 87 across the 11 of their papers we have counts for
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math.AP2014
A posteriori error estimates for Webster's equation in wave propagation
Teemu Lukkari, Jarmo Malinen
We consider a generalised Webster's equation for describing wave propagation in curved tubular structures such as variable diameter acoustic wave guides. Webster's equation in gene…
math.AP2014
Stability of degenerate parabolic Cauchy problems
Teemu Lukkari, Mikko Parviainen
We prove that solutions to Cauchy problems related to the -parabolic equations are stable with respect to the nonlinearity exponent . More specifically, solutions with a fixe…
math.AP2014
Perron's method for the porous medium equation
Juha Kinnunen, Peter Lindqvist, Teemu Lukkari
This work extends Perron's method for the porous medium equation in the slow diffusion case. The main result shows that nonnegative continuous boundary functions are resolutive in…