Buscar
Mostrando ítems 1-10 de 10
Artículo
Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion
(Elsevier, 2022-08)
In this paper, the asymptotic behavior of a semilinear heat equation with long time memory and non-local diffusion is analyzed in the usual set-up for dynamical systems generated by differential equations with delay ...
Artículo
On the limit of solutions for a reaction-diffusion equation containing fractional Laplacians
(Springer, 2023-11-21)
A kind of nonlocal reaction-diffusion equations on an unbounded domain containing a fractional Laplacian operator is analyzed. To be precise, we prove the convergence of solutions of the equation governed by the fractional ...
Artículo
Long Time Behavior of Stochastic Nonlocal Partial Differential Equations and Wong--Zakai Approximations
(SIAM, 2022)
This paper is devoted to investigating the well-posedness and asymptotic behavior of a class of stochastic 5 nonlocal partial differential equations driven by nonlinear noise. First, the existence of a weak martingale ...
Artículo
Dynamics of stochastic nonlocal reaction-diffusion equations driven by multiplicative noise
(World scientific, 2022-01-06)
This paper deals with fractional stochastic nonlocal partial differential equations driven by multiplicative noise. We first prove the existence and uniqueness of solution to this kind of equations with white noise by ...
Artículo
Dynamics of stochastic nonlocal partial differential equations
(Springer, 2021-08-17)
This paper is concerned with the asymptotic behavior of solutions to nonlocal stochastic partial differential equations with multiplicative and additive noise driven by a standard Brownian motion, respectively. First of ...
Artículo
Existence of weak solutions to nonlocal PDEs with a generalized definition of Caputo derivative
(Springer, 2022-12-08)
Some compactness criteria that are analogies of the Aubin–Lions lemma for the existence of weak solutions of nonlinear evolutionary PDEs play crucial roles for the existence of weak solutions to time-fractional PDEs. Based ...
Artículo
Well-posedness of stochastic time fractional 2D-stokes models with finite and infinite delay
(Texas State University, 2022-06-19)
We analyze the well-posedness of two versions of a stochastic time delay fractional 2D-Stokes model with nonlinear multiplicative noise. The main tool to prove the existence and uniqueness of mild solutions is a fixed point ...
Artículo
Asymptotic behavior of nonlocal partial differential equations with long time memory
(AIMS, 2022-10-01)
In this paper, it is first addressed the well-posedness of weak solutions to a nonlocal partial differential equation with long time memory, which is carried out by exploiting the nowadays well-known technique used by ...
Artículo
Dynamics and large deviations for fracional stochastic partial differential equations with Lévy noise
(Society for Industrial and Applied Mathematics, 2024-01-29)
This paper is mainly concerned with a kind of fractional stochastic evolution equa-tions driven by L\'evy noise in a bounded domain. We first state the well-posedness of the problem viaiterative approximations and energy ...
Artículo
Non-autonomous nonlocal partial differential equations with delay and memory
(Elsevier [Commercial Publisher], Academic Press [Associate Organisation], 2020-09-15)
The paper addresses a kind of non-autonomous nonlocal parabolic equations when the external force contains hereditary characteristics involving bounded and unbounded delays. First, well-posedness of the problem is analyzed ...