7 citations · 12 across the 10 of their papers we have counts for
4 papers · 1 filter
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}^{…
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…
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…
Existence of mild solutions for a system of partial differential equations with time-dependent generators
Amanda del Carmen Andrade-González, José Villa-Morales
We give sufficient conditions for global existence of positive mild solutions for the weak coupled system: \begin{eqnarray*} \frac{\partial u_{1}}{\partial t} &=&ρ_{1}t^{ρ_{1}-1}Δ_…