Results 1 to 10 of about 16,415 (167)
Dirichlet heat kernel for unimodal L\'evy processes [PDF]
Stochastic Processes and their Applications, 2014 We estimate the heat kernel of the smooth open set for the isotropic unimodal pure-jump L\'evy process with infinite L\'evy measure and weakly scaling L\'evy-Kchintchine exponent.Comment: 38 ...
Bogdan, K., Grzywny, T., Ryznar, M.
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Heat kernel estimates for the fractional Laplacian with Dirichlet conditions
The Annals of Probability, 2010 We give sharp estimates for the heat kernel of the fractional Laplacian with Dirichlet condition for a general class of domains including Lipschitz domains.Comment: Published in at http://dx.doi.org/10.1214/10-AOP532 the Annals of Probability (http ...
Bogdan, Krzysztof +2 more
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Laplace Dirichlet heat kernels in convex domains [PDF]
Journal of Differential Equations, 2022 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.
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Ain Shams Engineering Journal, 2023 Under the time-variable Dirichlet condition, the time-fractional diffusion equation with heat absorption in a sphere is taken into consideration. The time-fractional derivative with the power-law kernel is used in the generalized Cattaneo constitutive ...
Nehad Ali Shah +4 more
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Boundary conformal invariants and the conformal anomaly in five dimensions
Physics Letters B, 2021 In odd dimensions the integrated conformal anomaly is entirely due to the boundary terms [1]. In this paper we present a detailed analysis of the anomaly in five dimensions.
Amin Faraji Astaneh +1 more
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Chemical Engineering Transactions, 2022 While the implementation of renewable energy systems and model predictive control (MPC) could reduce non-renewable energy consumption, one challenge to building climate control using MPC is the weather forecast uncertainty.
Wei-Han Chen, Fengqi You
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On holography in general background and the boundary effective action from AdS to dS
Journal of High Energy Physics, 2022 We study quantum fields on an arbitrary, rigid background with boundary. We derive the action for a scalar in the holographic basis that separates the boundary and bulk degrees of freedom.
Sylvain Fichet
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Heat kernel estimates for general symmetric pure jump Dirichlet forms [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2022 In this paper, we consider the following symmetric non-local Dirichlet forms of pure jump type on metric measure space $(M,d, )$: $$\mathcal{E}(f,g)=\int_{M\times M} (f(x)-f(y))(g(x)-g(y))\,J(dx,dy),$$ where $J(dx,dy)$ is a symmetric Radon measure on $M\times M\setminus {\rm diag}$ that may have different scalings for small jumps and large jumps ...
Chen, Zhen-Qing +2 more
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Dirichlet Heat Kernel for the Laplacian in a Ball [PDF]
Potential Analysis, 2018 We provide sharp two-sided estimates on the Dirichlet heat kernel $k_1(t,x,y)$ for the Laplacian in a ball. The result accurately describes the exponential behaviour of the kernel for small times and significantly improves the qualitatively sharp results known so far.
Małecki, Jacek, Serafin, Grzegorz
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Dirichlet heat kernel estimates for rotationally symmetric Lévy processes [PDF]
Proceedings of the London Mathematical Society, 2014 In this paper, we consider a large class of purely discontinuous rotationally symmetric Levy processes. We establish sharp two-sided estimates for the transition densities of such processes killed upon leaving an open set D. When D is a -fat open set, the sharp two-sided estimates are given in terms of surviving probabilities and the global ...
Chen, Zhen-Qing +2 more
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