Semigroup admissibility along abstract Sobolev scales is equivalent to polynomial resolvent growth, and this equivalence yields sharp wave transfer function bounds and energy decay rates for Neumann damping.
Batty, Matthias Hieber, and Frank Neubrander
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Admissibility theory in abstract Sobolev scales and transfer function growth at high frequencies
Semigroup admissibility along abstract Sobolev scales is equivalent to polynomial resolvent growth, and this equivalence yields sharp wave transfer function bounds and energy decay rates for Neumann damping.