Thomas Rey, Giuseppe Toscani
Published 2012-05-07, updated 2013-03-06Version 2
In this paper we study the large-time behavior of the solution to a general Rosenau type approximation to the heat equation, by showing that the solution to this approximation approaches the fundamental solution of the heat equation at a sub-optimal rate. The result is valid in particular for the central differences scheme approximation of the heat equation, a property which to our knowledge has never been observed before.
Improved intermediate asymptotics for the heat equation
The Hardy inequality and the heat equation in twisted tubes
Boundary Regularity for the $\infty$-Heat Equation
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