Bounds for the gradient of the transition kernel for elliptic operators with unbounded diffusion, drift and potential terms
Copyright policy )Bounds for the gradient of the transition kernel for elliptic operators with unbounded diffusion, drift and potential terms
We prove global Sobolev regularity and pointwise upper bounds for the gradient of transition densities associated with second order differential operators in $\mathbb{R}^d$ with unbounded diffusion, drift and potential terms.
24 pages, no figures
- Università degli studi di Salerno Italy
- University of Konstanz Germany
One-parameter semigroups and linear evolution equations, estimates of the derivative, 35K10, 35K08, Parabolic equation with unbounded coefficients, heat kernel estimates, estimates of the derivative, one-parameter semigroup., Mathematics - Analysis of PDEs, Second-order parabolic equations, parabolic equation with unbounded coefficients, FOS: Mathematics, heat kernel estimates, Heat kernel, one-parameter semigroup, Analysis of PDEs (math.AP)
One-parameter semigroups and linear evolution equations, estimates of the derivative, 35K10, 35K08, Parabolic equation with unbounded coefficients, heat kernel estimates, estimates of the derivative, one-parameter semigroup., Mathematics - Analysis of PDEs, Second-order parabolic equations, parabolic equation with unbounded coefficients, FOS: Mathematics, heat kernel estimates, Heat kernel, one-parameter semigroup, Analysis of PDEs (math.AP)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).3 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!