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On sharp heat and subordinated kernel estimates in the Fourier- Bessel setting [PDF]
Rocky Mountain Journal of Mathematics, 2014 We prove qualitatively sharp heat kernel bounds in the setting of Fourier-Bessel expansions when the associated type parameter ν is half-integer. Moreover, still for half-integer ν , we also obtain sharp estimates of all kernels subordinated to the heat ...
Adam Nowak, Luz Roncal
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A note on heat kernel and approximation
Applied Numerical Mathematics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Trovon, Alexandre, Yu, Yanlin
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Physical Review D, 1992
Summary: A direct method is given for resumming nonderivative terms arising out of the ``Xterms'' from operators of the form \(\nabla^2+X\) in the asymptotic expansions of heat kernels.
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Summary: A direct method is given for resumming nonderivative terms arising out of the ``Xterms'' from operators of the form \(\nabla^2+X\) in the asymptotic expansions of heat kernels.
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Journal of the London Mathematical Society, 1993
We prove a sharper pointwise upper bound for the heat kernel of the continuous time random walk on a general graph under a weaker assumption than that by \textit{I. Chavel} and \textit{E. A. Feldman} in `Modified isoperimetric constants and large time heat diffusion in Riemannian manifolds', preprint 1990. Our main result is stated in Theorem 2.6.
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We prove a sharper pointwise upper bound for the heat kernel of the continuous time random walk on a general graph under a weaker assumption than that by \textit{I. Chavel} and \textit{E. A. Feldman} in `Modified isoperimetric constants and large time heat diffusion in Riemannian manifolds', preprint 1990. Our main result is stated in Theorem 2.6.
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Heat Kernel on Analytic Subvariety
Chinese Annals of Mathematics, Series B, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Canadian Mathematical Bulletin, 1999
AbstractWe obtain an explicit formula for heat kernels of Lorentz cones, a family of classical symmetric cones. By this formula, the heat kernel of a Lorentz cone is expressed by a function of timetand two eigenvalues of an element in the cone. We obtain also upper and lower bounds for the heat kernels of Lorentz cones.
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AbstractWe obtain an explicit formula for heat kernels of Lorentz cones, a family of classical symmetric cones. By this formula, the heat kernel of a Lorentz cone is expressed by a function of timetand two eigenvalues of an element in the cone. We obtain also upper and lower bounds for the heat kernels of Lorentz cones.
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The Quarterly Journal of Mathematics, 1993
The author considers the differential operator \(H\) acting on \(L^2(- \alpha, +\alpha)\) given by \[ Hf= -{d\over dx} \Biggl(a(x) {df\over dx}\Biggr) \] and subject to Dirichlet boundary conditions at \(-\alpha\) and \(+\alpha\), where \(a: (- \alpha, +\alpha)\to (0, +\infty)\) is measurable with \(\gamma^{- 1}\leq a(x)\leq \gamma\) for all \(x\in (- \
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The author considers the differential operator \(H\) acting on \(L^2(- \alpha, +\alpha)\) given by \[ Hf= -{d\over dx} \Biggl(a(x) {df\over dx}\Biggr) \] and subject to Dirichlet boundary conditions at \(-\alpha\) and \(+\alpha\), where \(a: (- \alpha, +\alpha)\to (0, +\infty)\) is measurable with \(\gamma^{- 1}\leq a(x)\leq \gamma\) for all \(x\in (- \
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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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Heat kernels and theta functions
1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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