J. Villa‐Morales

activity

20122025

most citedBlow up of mild solutions of a system of partial differential equations with distinct fractional diffusions

7 citations · 12 across the 10 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math.PR2016

Solution of the Dirichlet problem for the equation $a Δ u + b \cdot \nabla u = 0$ by the Monte Carlo method

José Villa-Morales

In this paper we study the Dirichlet problem corresponding to an open bounded set $D \subset R^{d}$ and the operator \begin{equation*} A=\sum_{i=1}^{d}a\frac{\partial ^{2}}…

math.AP2016

Global existence and persistence of mass for a nonlinear equation with fractional Laplacian

Eric Ruvalcaba-Robles, José Villa-Morales

In this paper we study the partial differential equation \begin{equation} \begin{split} \partial_tu &= k(t)Δ_αu - h(t)φ(u), u(0) &= u_0. \end{split} \end{equation} Here $Δ_{α}$ is th…

Solution of the Dirichlet problem for the equation aΔu+b⋅∇u=0 by the Monte Carlo method

Global existence and persistence of mass for a nonlinear equation with fractional Laplacian

Solution of the Dirichlet problem for the equation $a Δ u + b \cdot \nabla u = 0$ by the Monte Carlo method