46 citations · 162 across the 32 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math.AP2014★ 14 cited
Parabolic weighted norm inequalities and partial differential equations
Juha Kinnunen, Olli Saari
We investigate parabolic Muckenhoupt weights and functions of bounded mean oscillation (BMO) related to nonlinear parabolic partial differential equations. The main result gives a…
math.FA2014★ 2 cited
Relaxation and integral representation for functionals of linear growth on metric measure spaces
Heikki Hakkarainen, Juha Kinnunen, Panu Lahti +1
This article studies an integral representation of functionals of linear growth on metric measure spaces with a doubling measure and a Poincaré inequality. Such a functional is def…
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…