If the norm of the time-dependent unbounded perturbation operators is continuous, the nonautonomous evolution equation admits an evolution family, unique under additional differentiability and bounded derivative conditions.
Batty, On a perturbation theorem of Kaiser and Weis,Semigroup Forum70(2005), 471–474
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DS 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
On the well-posedness of linear evolution equations under unbounded nonautonomous perturbations
If the norm of the time-dependent unbounded perturbation operators is continuous, the nonautonomous evolution equation admits an evolution family, unique under additional differentiability and bounded derivative conditions.