Constructs symmetric analytic positivity-preserving Ornstein-Uhlenbeck semigroups on rooted metric trees with Gaussian measures, establishes compactness and eigenvalue asymptotics, and reduces regular cases to half-line problems via adapted Naimark-Solomyak decomposition.
Analysis of heat equations on domains , volume 31 of London Math- ematical Society Monographs Series
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.AP 2verdicts
UNVERDICTED 2representative citing papers
Stability of semigroup smoothing under relatively bounded perturbations yields spectral and eventually positive perturbation theorems for elliptic PDEs.
citing papers explorer
-
Ornstein--Uhlenbeck semigroup on rooted trees
Constructs symmetric analytic positivity-preserving Ornstein-Uhlenbeck semigroups on rooted metric trees with Gaussian measures, establishes compactness and eigenvalue asymptotics, and reduces regular cases to half-line problems via adapted Naimark-Solomyak decomposition.
-
Smoothing of operator semigroups under relatively bounded perturbations
Stability of semigroup smoothing under relatively bounded perturbations yields spectral and eventually positive perturbation theorems for elliptic PDEs.