Xuan-Quang Bui

collaborators

3 papers

math.DS2026

Roughness of exponential dichotomy under unbounded perturbation in linear partial functional differential equations

Xuan-Quang Bui, Nguyen Van Minh

This paper is concerned with the roughness of exponential dichotomies under unbounded perturbations of a class of linear partial functional differential equations \begin{equation}\…

math.DS2026

On the well-posedness of linear evolution equations under unbounded nonautonomous perturbations

Xuan-Quang Bui, Vu Trong Luong, Nguyen Van Minh

We study conditions for the well-posedness of nonautonomous perturbation of evolution equations of the form \[ u'(t)=(A+B(t))u(t), \quad t \in [a,b], \] where $A$ generates a $\mat…

math.DS2024

A generation theorem for the perturbation of strongly continuous semigroups by unbounded operators

Xuan-Quang Bui, Nguyen Duc Huy, Vu Trong Luong +1

In this paper we study the well-posedness of the evolution equation of the form $u^{'} (t) = A u (t) + C u (t)$ , $t \geq 0$ , where $A$ is the generator of a $C_{0}$ - semigroup and $C$ is a (possib…