2 citations · 3 across the 7 of their papers we have counts for
10 papers
Blow-up for a non-linear stable non-Gaussian process in fractional time
S. Solís, V. Vergara
The behaviour of solutions for a non-linear diffusion problem is studied. A subordination principle is applied to obtain the variation of parameters formula in the sense of Volterr…
A non-linear stable non-Gaussian process in fractional time
Soveny Solís, Vicente Vergara
A subdiffusion problem in which the diffusion term is related to a stable stochastic process is introduced. Linear models of these systems have been studied in a general way, but n…
Multiplicity of bounded solutions to the -Hessian equation with a Matukuma-type source
Yasuhito Miyamoto, Justino Sanchez, Vicente Vergara
The aim of this paper is to deal with the -Hessian counterpart of the Laplace equation involving a nonlinearity studied by Matukuma. Namely, our model is the problem \begin{equa…
Fundamental Solutions and Decay of Fully Non-local Problems
Juan C. Pozo, Vicente Vergara
In this paper, we study a fully non-local reaction-diffusion equation which is non-local both in time and space. We apply subordination principles to construct the fundamental solu…
Stability, instability, and blowup for time fractional and other non-local in time semilinear subdiffusion equations
Vicente Vergara, Rico Zacher
We consider non-local in time semilinear subdiffusion equations on a bounded domain, where the kernel in the integro-differential operator belongs to a large class, which covers ma…
Radially bounded solutions of a -Hessian equation involving a weighted nonlinear source
Justino Sanchez, Vicente Vergara
We consider the problem \begin{equation}(1)\;\;\; \begin{cases} S_k(D^2u)= λ|x|^σ (1-u)^q &\mbox{in }\;\; B,\\ u <0 & \mbox{in }\;\; B,\\ u=0 &\mbox{on }\partial B, \end{cases} \en…
Bounded solutions of a -Hessian equation in a ball
Justino Sánchez, Vicente Vergara
We consider the problem \begin{equation}\label{Eq:Abstract} (1)\;\;\;\begin{cases} S_k(D^2u)= λ(1-u)^q &\mbox{in }\;\; B,\\ u <0 & \mbox{in }\;\; B,\\ u=0 &\mbox{on }\partial B, \e…
Decay estimates for time-fractional and other non-local in time subdiffusion equations in
Jukka Kemppainen, Juhana Siljander, Vicente Vergara +1
We prove optimal estimates for the decay in time of solutions to a rather general class of non-local in time subdiffusion equations in . An important special case is…
Optimal decay estimates for time-fractional and other non-local subdiffusion equations via energy methods
Vicente Vergara, Rico Zacher
We prove sharp estimates for the decay in time of solutions to a rather general class of non-local in time subdiffusion equations on a bounded domain subject to a homogeneous Diric…
A priori bounds for degenerate and singular evolutionary partial integro-differential equations
Vicente Vergara, Rico Zacher
We study quasilinear evolutionary partial integro-differential equations of second order which include time fractional -Laplace equations of time order less than one. By means o…