1 citations · 1 across the 3 of their papers we have counts for
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Continuity of solutions to a nonlinear fractional diffusion equation
Lorenzo Brasco, Erik Lindgren, Martin Strömqvist
We study a parabolic equation for the fractional Laplacian of order , for and . We provide space-time Hölder estimates for weak solutions, with explicit expo…
Large time behavior of solutions of Trudinger's equation
Ryan Hynd, Erik Lindgren
We study the large time behavior of solutions of the PDE We show that …
Perron's Method and Wiener's Theorem for a Nonlocal Equation
Erik Lindgren, Peter Lindqvist
We study the Dirichlet problem for non-homogeneous equations involving the fractional -Laplacian. We apply Perron's method and prove Wiener's resolutivity theorem.
Approximation of the least Rayleigh quotient for degree homogeneous functionals
Ryan Hynd, Erik Lindgren
We present two novel methods for approximating minimizers of the abstract Rayleigh quotient . Here is a strictly convex functional on a Banach space with norm $\…
Inverse iteration for -ground states
Ryan Hynd, Erik Lindgren
We adapt the inverse iteration method for symmetric matrices to some nonlinear PDE eigenvalue problems. In particular, for and a given domain $Ω\subset\mathbb{R}^…
The -harmonic potential is not always an -eigenfunction
Erik Lindgren
In this note we prove that there is a convex domain for which the -harmonic potential is not a first -eigenfunction.