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• W3207185825 abstract "We provide general lower and upper bounds for Laplace Dirichlet heat kernel of convex $mathcal C^{1,1}$ domains. The obtained estimates precisely describe the exponential behaviour of the kernels, which has been known only in a few special cases so far. Furthermore, we characterize a class of sets for which the estimates are sharp, i.e. the upper and lower bounds coincide up to a multiplicative constant. In particular, this includes sets of the form ${xin R^n: x_n>a|(x_1,...,x_{n-1})|^p}$ where $pgeq2$, $ngeq2 $ and $a>0$." @default.
• W3207185825 created "2021-10-25" @default.
• W3207185825 creator A5058377164 @default.
• W3207185825 date "2021-10-12" @default.
• W3207185825 modified "2023-09-27" @default.
• W3207185825 title "Laplace Dirichlet heat kernels in convex domains" @default.
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• W3207185825 hasPublicationYear "2021" @default.
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