Asymptotic expansions for anisotropic heat kernels

Ignat LI, Zuazua E (2013)

Publication Type: Journal article

Publication year: 2013

Journal

Journal of Evolution Equations Springer Verlag (Germany)

Book Volume: 13

Pages Range: 1-20

Journal Issue: 1

DOI: 10.1007/s00028-012-0166-y

Abstract

We obtain the asymptotic expansion of the solutions of some anisotropic heat equations when the initial data belong to polynomially weighted L (p) -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.

Authors with CRIS profile

Enrique Zuazua Iriondo

Involved external institutions

Romanian Academy / Academia Română RO Romania (RO) Basque Center of Applied Mathematics (BCAM) ES Spain (ES)

How to cite

APA:

Ignat, L.I., & Zuazua, E. (2013). Asymptotic expansions for anisotropic heat kernels. Journal of Evolution Equations, 13(1), 1-20. https://dx.doi.org/10.1007/s00028-012-0166-y

MLA:

Ignat, Liviu I., and Enrique Zuazua. "Asymptotic expansions for anisotropic heat kernels." Journal of Evolution Equations 13.1 (2013): 1-20.

BibTeX: Download