426 citations · 470 across the 24 of their papers we have counts for
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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…
Infinity-Harmonic Potentials and Their Streamlines
Erik Lindgren, Peter Lindqvist
We consider certain solutions of the Infinity-Laplace Equation in planar convex rings. Their ascending streamlines are unique while the descending ones may bifurcate. We prove that…
A discrete stochastic interpretation of the Dominative -Laplacian
Karl K. Brustad, Peter Lindqvist, Juan J. Manfredi
The Dominative -Laplacian is the operator defined for as follows: \begin{equation}\label{dominativep} \mathcal{L}_{p}u(x)=\frac{1}{p}\left(λ_{1}+\ldots+λ_{N-1}…
Regularity of Solutions of the Parabolic Normalized p-Laplace Equation
Fredrik Arbo Høeg, Peter Lindqvist
The parabolic normalized p-Laplace equation is studied. We prove that a viscosity solution has a time derivative in the sense of Sobolev belonging locally to .
Regularity for an anisotropic equation in the plane
Peter Lindqvist, Diego Ricciotti
We present a simple proof of the regularity of -anisotropic functions in the plane for . We achieve a logarithmic modulus of continuity for the derivatives…
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…