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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 be a real-valued function defined on , with and which is not constant in non empty open intervals. We prove the equations \begin{equation}\label{e…
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 is th…