activity
20092022
most citedInvariant manifolds for random and stochastic partial differential equations

5 citations · 16 across the 10 of their papers we have counts for

collaborators

10 papers

math.AP20222 cited

Asymptotic stability of evolution systems of probability measures for nonautonomous stochastic systems: Theoretical results and applications

Renhai Wang, Tomas Caraballo, Nguyen Huy Tuan

The limiting stability of invariant probability measures of time homogeneous transition semigroups for autonomous stochastic systems has been extensively discussed in the literatur…

math.AP20212 cited

On the initial value problem for a class of nonlinear biharmonic equation with time-fractional derivative

Anh Tuan Nguyen, Tomás Caraballo, Nguyen Huy Tuan

In this work, we investigate the IVP for a time-fractional fourth-order equation with nonlinear source terms. More specifically, we consider the time-fractional biharmonic with exp…

math.AP20205 cited

The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations

Tomás Caraballo, Alexandre N. de Carvalho, José A. Langa +1

In this work we study permanence of hyperbolicity for autonomous differential equations under nonautonomous random/stochastic perturbations. For the linear case, we study robustnes…

math.AP2020

Pullback and uniform attractors for nonautonomous reaction-diffusion equation in Dumbbell domains

Maykel Belluzi, Tomás Caraballo, Marcelo J. D. Nascimento +1

This work is devoted to the study of the asymptotic behavior of nonautonomous reaction-diffusion equations in Dumbbell domains . Each $Ω_{\v…

math.AP2020

Permanence of nonuniform nonautonomous hyperbolicity for infinite-dimensional differential equations

Tomás Caraballo, Alexandre N. Carvalho, José Antonio Langa +1

In this paper, we study stability properties of nonuniform hyperbolicity for evolution processes associated with differential equations in Banach spaces. We prove a robustness resu…

math.AP2019

Existence and regularity results for terminal value problem for nonlinear fractional wave equations

Nguyen Huy Tuan, Tomás Caraballo, Tran Bao Ngoc +1

We consider the terminal value problem (or called final value problem, initial inverse problem, backward in time problem) of determining the initial value, in a general class of ti…