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2012

Asymptotic expansions for anisotropic heat kernels

Ignat, Liviu I., Zuazua, Enrique

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We obtain the asymptotic expansion of the solutions of some anisotropic heat equations when the initial data belong to polynomially weighted Lp-spaces.

We mainly address two model examples.
In the first one, the diffusivity is of order two in some variables but higher in the other ones.
In the second one we consider the heat equation on the Heisenberg group.

Asymptotic expansions for anisotropic heat kernels · Around

Built on

Principe de moindre action, propagation de la chaleur et estimées sous elliptiques sur certains groupes nilpotents
B. Gaveau · 1977
Earlier work this paper cites.
Moments, masses de Dirac et décomposition de fonctions
J. Duoandikoetxea and E. Zuazua · 1992
Earlier work this paper cites.

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