2 citations · 2 across the 4 of their papers we have counts for
7 papers
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…
Regularization of sideways problem for a time fractional diffusion equation with nonlinear source
Tran Bao Ngoc, Nguyen Huy Tuan, Mokhtar Kirane
In this paper, we consider an inverse problem for a time-fractional diffusion equation with a nonlinear source. We prove that the considered problem is ill-posed, i.e. the solution…
Backward problem for time fractional reaction-diffusion equation with nonlinear source and discrete data
Nguyen Huy Tuan, Tran Ngoc Thach, Donal O'Regan +1
In this paper, we study the problem of finding the solution of a multi-dimensional time fractional reactiondiffusion equation with nonlinear source from the final value data. We pr…
An improved quasi-reversibility method for a terminal-boundary value multi-species model with white Gaussian noise
Nguyen Huy Tuan, Vo Anh Khoa, Phan Thi Khanh Van +1
Upon the recent development of the quasi-reversibility method for terminal value parabolic problems in \cite{Nguyen2019}, it is imperative to investigate the convergence analysis o…
Approximation of mild solutions of a semilinear fractional elliptic equation with random noise
Ho Duy Binh, Erkan Nane, Nguyen Huy Tuan
We study for the first time the Cauchy problem for semilinear fractional elliptic equation. This paper is concerned with the Gaussian white noise model for the initial Cauchy data.…
Convergence rates in expectation for a nonlinear backward parabolic equation with Gaussian white noise
Erkan Nane, Nguyen Huy Tuan
The main purpose of this paper is to study the problem of determining initial condition of nonlinear parabolic equation from noisy observations of the final condition. We introduce…