Results 31 to 40 of about 403 (112)

The Control Problem for a Heat Conduction Equation with Neumann Boundary Condition

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
Previously, boundary control problems for a heat conduction equation with Dirichlet boundary condition were studied in a bounded domain. In this paper, we consider the boundary control problem for the heat conduction equation with Neumann boundary ...
Dekhkonov, F.N.
doaj   +1 more source

The Boundary Behavior of Heat Kernels of Dirichlet Laplacians

Journal of Differential Equations, 2002
It is obtained qualitative sharp description of heat kernel \(G\) of Dirichlet Laplacian on bounded \(C^{1,1}\) domain \(D.\) There exists positive constants \(c_1, c_2\) such that, for \(\rho(x)=\text{dist}(x,\partial D)\) \[ \left[{\rho(x)\rho(y)\over t}\wedge 1\right]{c_1\over t^{n/2} } e^{-c_2|x-y|^2/t} \leq G(x,t;y,0)\leq \left[{\rho(x)\rho(y ...
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Global Dirichlet Heat Kernel Estimates for Symmetric Lévy Processes in Half-Space [PDF]

Acta Applicandae Mathematicae, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Zhen-Qing, Kim, Panki
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Heat kernel estimates for Dirichlet forms degenerate at the boundary

, 2022
59 pages, 1 figure.
Cho, Soobin, Kim, Panki, Song, Renming, Vondraček, Zoran   +3 more
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The bounded variation capacity and Sobolev-type inequalities on Dirichlet spaces

Advances in Nonlinear Analysis
In this article, we consider the bounded variation capacity (BV capacity) and characterize the Sobolev-type inequalities related to BV functions in a general framework of strictly local Dirichlet spaces with a doubling measure via the BV capacity.
Xie Xiangyun, Liu Yu, Li Pengtao, Huang Jizheng   +3 more
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Dirichlet heat kernel estimates for rectilinear stable processes

Journal of Functional Analysis
This version contains more complete details and differs slightly from the published ...
Zhen-Qing Chen, Eryan Hu, Guohuan Zhao
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Boundary effects on the thermodynamics of quantum fields near a static black hole

European Physical Journal C: Particles and Fields
We investigate thermodynamics of a non-interacting quantum field in a static black hole background. The horizon divergences are regulated by the brick wall method, which consists of subjecting the quantum field to Dirichlet boundary conditions on a ...
Emine Ertuğrul, Birses Debir, Levent Akant   +2 more
doaj   +1 more source

Resummed heat-kernel for surface contributions: Dirichlet semitransparent boundary conditions

, 2022
In this article we consider resummed expressions for the heat-kernel's trace of a Laplace operator, the latter including a potential and imposing Dirichlet semitransparent boundary conditions on a surface of codimension one in flat space. We obtain resummed expressions that correspond to the first and second order expansion of the heat-kernel in powers
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Heat kernel estimates for the fractional Laplacian with Dirichlet conditions

The Annals of Probability, 2010
Published in at http://dx.doi.org/10.1214/10-AOP532 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Bogdan, Krzysztof, Grzywny, Tomasz, Ryznar, Michał   +2 more
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On the heat kernel and the Dirichlet form of Liouville Brownian motion

Electronic Journal of Probability, 2014
31 ...
Vargas, Vincent, Rhodes, Rémi, Garban, Christophe   +2 more
openaire   +4 more sources