Long time behavior of heat kernels of operators with unbounded drift terms

Long time behavior of heat kernels of operators with unbounded drift terms

Given a second-order elliptic operator on Rd, with bounded diffusion coefficients and unbounded drift, which is the generator of a strongly continuous semigroup on L2(Rd) represented by an integral, we study the time behavior of the integral kernel and prove estimates on its decay at infinity. If th...

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Veröffentlicht in:Journal of mathematical analysis and applications 2011-05, Vol.377 (1), p.170-179
Hauptverfasser: Metafune, Giorgio, Ouhabaz, El Maati, Pallara, Diego
Format: Artikel
Sprache:eng
Schlagworte:
Analysis of PDEs
Exact sciences and technology
Functional Analysis
Group theory
Group theory and generalizations
Heat kernels
Mathematical analysis
Mathematics
Parabolic operators
Sciences and techniques of general use
Unbounded coefficients
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Beschreibung
Zusammenfassung:Given a second-order elliptic operator on Rd, with bounded diffusion coefficients and unbounded drift, which is the generator of a strongly continuous semigroup on L2(Rd) represented by an integral, we study the time behavior of the integral kernel and prove estimates on its decay at infinity. If the diffusion coefficients are symmetric, a local lower estimate is also proved.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2010.10.023