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Displaying similar documents to “Discrete version of Dungey’s proof for the gradient heat kernel estimate on coverings”

q-Heat Operator and q-Poisson’s Operator

Mabrouk, Hanène (2006)

Fractional Calculus and Applied Analysis

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2000 Mathematics Subject Classification: 33D15, 33D90, 39A13 In this paper we study the q-heat and q-Poisson’s operators associated with the q-operator ∆q (see[5]). We begin by summarizing some statements concerning the q-even translation operator Tx,q, defined by Fitouhi and Bouzeffour in [5]. Then, we establish some basic properties of the q-heat semi-group such as boundedness and positivity. In the second part, we introduce the q-Poisson operator P^t, and address its...

New results on the Burgers and the linear heat equations in unbounded domains.

J.I. Díaz, S. González (2005)

RACSAM

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We consider the Burgers equation and prove a property which seems to have been unobserved until now: u(x) (0 +∞). We also consider the associate stationary problem. Finally, some applications to the linear heat equation with boundary conditions of Robin type are also given.

Radiative Heating of a Glass Plate

Luc Paquet, Raouf El Cheikh, Dominique Lochegnies, Norbert Siedow (2012)

MathematicS In Action

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This paper aims to prove existence and uniqueness of a solution to the coupling of a nonlinear heat equation with nonlinear boundary conditions with the exact radiative transfer equation, assuming the absorption coefficient κ ( λ ) to be piecewise constant and null for small values of the wavelength λ as in the paper of N. Siedow, T. Grosan, D. Lochegnies, E. Romero, “Application of a New Method for Radiative Heat Tranfer to Flat Glass Tempering”, (8):2181-2187 (2005). An important...