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Intelligent Laser Micro/Nano Processing: Research and Advances. [PDF]
Liu YX +9 more
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Importance sampling for stochastic reaction-diffusion equations in the moderate deviation regime. [PDF]
Gasteratos I, Salins M, Spiliopoulos K.
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Two-sided estimates of heat kernels of jump type Dirichlet forms
Advances in Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grigoryan, Alexander +2 more
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Heat kernels and non-local Dirichlet forms on ultrametric spaces
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2021Summary: We consider a class of jump measures on ultrametric spaces and the associated non-local regular Dirichlet forms. We obtain equivalent conditions for certain heat kernel upper and lower estimates in terms of the properties of the jump measure. In particular, heat kernel estimates are given for quite degenerate/singular jump measures as shown in
Bendikov, Alexander +3 more
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Dirichlet Heat Kernel Estimates for $��^{��/2}+ ��^{��/2}$
2009For $d\geq 1$ and ...
Chen, Zhen-Qing +2 more
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LOWER BOUNDS FOR THE DIRICHLET HEAT KERNEL
The Quarterly Journal of Mathematics, 1997The paper considers the problem of finding a lower bound for the Dirichlet heat kernel \(K_D(t,x,y)\) of the semigroup \(\exp[t\Delta_D/2]\), where \(\Delta_D\) is the Dirichlet Laplacian of a proper, open and connected domain \(D\subset\mathbb{R}^n\). The author improves under some geometrical assumption some results of a lower bound for \(K_D(t,x,y)\)
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A Gaussian Lower Bound for the Dirichlet Heat Kernel
Bulletin of the London Mathematical Society, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Pointwise Properties of Eigenfunctions and Heat Kernels of Dirichlet–Schrödinger Operators
Potential Analysis, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CIPRIANI, FABIO EUGENIO GIOVANNI +1 more
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Neumann and Dirichlet Heat Kernels in Inner Uniform Domains
Astérisque, 2018Pavel GYRYA, Laurent SALOFF-COSTE
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