J. Villa‐Morales

collaborators

5 papers

math.CA2019

The set of $p$ -harmonic functions in $B_{1}$ is total in $C^{k} (B ˉ_{1})$

José Villa-Morales

Let $(- Δ_{p})^{s}$ , with $0 < s < 1 < p < \infty$ , be the fractional $p$ -Laplacian operator. We prove that the span of $p$ -harmonic functions in $B_{1}$ is dense in $C^{k} (B ˉ_{1})$ .

math.AP2019

Blow-up at space infinity for solutions of a system of non-autonomous semilinear heat equations

Gabriela de Jesús Cabral-García, José Villa-Morales

In this paper we will see that the global or local existence of solutions to \begin{eqnarray*} \dfrac{\partial u_{1}}{\partial t} & = & \mathit{k}_{1} (t) Δu_{1} + h_{1}(t) u_{1}^{…

math.AP2019

Certain fractional Laplacian equations that do not have smooth solutions

José Villa-Morales

Let $f$ be a real-valued function defined on $R$ , with $f (0) \neq = 0$ and which is not constant in non empty open intervals. We prove the equations \begin{equation}\label{e…

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…

The set of p-harmonic functions in B1​ is total in Ck(Bˉ1​)

Blow-up at space infinity for solutions of a system of non-autonomous semilinear heat equations

Certain fractional Laplacian equations that do not have smooth solutions

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

The set of $p$ -harmonic functions in $B_{1}$ is total in $C^{k} (B ˉ_{1})$

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