2 citations · 4 across the 5 of their papers we have counts for
5 papers
Dirichlet Problem for Degenerate Fractional Parabolic Hyperbolic Equations
Gerardo Huaroto, Wladimir Neves
We are concerned in this paper with the degenerate fractional diffusion advection equations posed in bounded domains. Due to a suitable formulation, we show the existence of weak e…
Solvability of the Fractional Hyperbolic Keller-Segel System
Gerardo Huaroto, Wladimir Neves
We study a new nonlocal approach to the mathematical modelling of the Chemotaxis problem, which describes the random motion of a certain population due a substance concentration. C…
Initial mixed-boundary value problem for anisotropic fractional degenerate parabolic equations
Gerardo Huaroto, Wladimir Neves
We consider an initial mixed-boundary value problem for anisotropic fractional type degenerate parabolic equations posed in bounded domains. Namely, we consider that the boundary o…
A fully nonlinear degenerate free transmission problem
Gerardo Huaroto, Edgard A. Pimentel, Giane C. Rampasso +1
We study a free transmission problem driven by degenerate fully nonlinear operators. Our first result concerns the existence of solutions to the associated Dirichlet problem. By fr…
The cubic nonlinear fractional Schrödinger equation on the half-line
Márcio Cavalcante, Gerardo Huaroto
We study the cubic nonlinear fractional Schrödinger equation with Lévy indices posed on the half-line. More precisely, we define the notion of a solution for thi…