31 citations · 103 across the 32 of their papers we have counts for
5 papers · 1 filter
A remark on infinite initial values for quasilinear parabolic equations
Peter Lindqvist, Mikko Parviainen
We study the possibility of prescribing infinite initial values for solutions of the Evolutionary -Laplace Equation in the fast diffusion case . This expository note has be…
Convergence of dynamic programming principles for the -Laplacian
Félix del Teso, Juan J. Manfredi, Mikko Parviainen
We provide a unified strategy to show that solutions of dynamic programming principles associated to the -Laplacian converge to the solution of the corresponding Dirichlet probl…
Asymptotic Lipschitz regularity for tug-of-war games with varying probabilities
Ángel Arroyo, Hannes Luiro, Mikko Parviainen +1
We prove an asymptotic Lipschitz estimate for value functions of tug-of-war games with varying probabilities defined in . The method of the proof is based on…
Equivalence between radial solutions of different parabolic gradient-diffusion equations and applications
Mikko Parviainen, Juan Luis Vázquez
We consider a general form of a parabolic equation that generalizes both the standard parabolic -Laplace equation and the normalized version that has been proposed in stochastic…
Supercaloric functions for the porous medium equation
Juha Kinnunen, Pekka Lehtelä, Peter Lindqvist +1
In the slow diffusion case unbounded supersolutions of the porous medium equation are of two totally different types, depending on whether the pressure is locally integrable or not…