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On the equivalence of heat kernels of second-order parabolic operators - MaRDI portal

On the equivalence of heat kernels of second-order parabolic operators (Q2177501)

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On the equivalence of heat kernels of second-order parabolic operators
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    On the equivalence of heat kernels of second-order parabolic operators (English)
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    6 May 2020
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    Essentially, the authors state sufficient conditions for having the equivalence between two heat kernels of two parabolic operators on a noncompact Riemannian manifold (Theorem 2.5). This result provides a positive answer on a conjecture raised by \textit{M. Fraas} et al. [Discrete Contin. Dyn. Syst. Ser. A 28, 495--509 (2010; Zbl 1198.35119)].
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    heat kernel
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    parabolic operator
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    subcritical/critical operators
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