Heat kernel estimates for the Bessel differential operator in half-line
نویسندگان
چکیده
منابع مشابه
Global Heat Kernel Estimates for ∆+∆ in Half-space-like Domains
Suppose that d ≥ 1 and α ∈ (0, 2). In this paper, we establish by using probabilistic methods sharp two-sided pointwise estimates for the Dirichlet heat kernels of {∆+ a∆; a ∈ (0, 1]} on half-space-like C domains for all time t > 0. The large time estimates for half-spacelike domains are very different from those for bounded domains. Our estimates are uniform in a ∈ (0, 1] in the sense that the...
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Suppose that d ≥ 1 and α ∈ (0, 2). In this paper, we establish by using probabilistic methods sharp two-sided pointwise estimates for the Dirichlet heat kernels of {∆ + a∆; a ∈ (0, 1]} on half-space-like C domains for all time t > 0. The large time estimates for half-space-like domains are very different from those for bounded domains. Our estimates are uniform in a ∈ (0, 1] in the sense that t...
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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2016
ISSN: 0025-584X
DOI: 10.1002/mana.201500163