2 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 generates a $\mat…