46 citations · 162 across the 32 of their papers we have counts for
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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.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…