Long time behavior of heat kernels of operators with unbounded drift terms |
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| Authors: | Giorgio Metafune Diego Pallara |
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| Institution: | a Dipartimento di Matematica “Ennio De Giorgi”, Università del Salento, C.P. 193, 73100, Lecce, Italy
b Université Bordeaux 1, Institut de Mathématiques de Bordeaux (IMB), CNRS UMR 5251, 351, Cours de la Libération, 33405 Talence, France |
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| Abstract: | 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. |
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| Keywords: | Parabolic operators Unbounded coefficients Heat kernels |
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