2 citations · 2 across the 1 of their papers we have counts for
4 papers
Reaction-diffusion equations for the infinity Laplacian
Nicolau M. L. Diehl, Rafayel Teymurazyan
We derive sharp regularity for viscosity solutions of an inhomogeneous infinity Laplace equation across the free boundary, when the right hand side does not change sign and satisfi…
On the global solvability of porous media equations with general (spatially dependent) advection terms
N. M. L. Diehl, L. Fabris, P. R. Zingano
We show that advection-diffusion equations with porous media type diffusion and integrable initial data are globally solvable under very mild conditions. Some generalizations and r…
Decay Estimates for Solutions of Porous Medium Equations with Advection
Nicolau Matiel Lunardi Diehl, Lucineia Fabris, Juliana Sartori Ziebell
In this paper, we show that bounded weak solutions of the Cauchy problem for general degenerate parabolic equations of the form \begin{equation} \notag u_t \,+\; \mbox{div}\,f(x,t,…
Some properties for the Steklov averages
Jocemar Q. Chagas, Nicolau M. L. Diehl, Patrícia L. Guidolin
We derive and present a collection of properties about the Steklov averages, including some results about the derivation with respect to spatial variables, and with respect to time…