In this paper, we study the heat equation on a homogeneous graph, relative to the natural (nearest-neighbour) Laplacian. We find pointwise estimates for the heat and resolvent kernels, and the L-p-L-q mapping properties of the corresponding operators

Cowling, M., Meda, S., Setti, A. (2000). Estimates for functions of the Laplace operator on homogeneous trees. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 352(9), 4271-4293 [10.1090/S0002-9947-00-02460-0].

Estimates for functions of the Laplace operator on homogeneous trees

Meda, S;
2000

Abstract

In this paper, we study the heat equation on a homogeneous graph, relative to the natural (nearest-neighbour) Laplacian. We find pointwise estimates for the heat and resolvent kernels, and the L-p-L-q mapping properties of the corresponding operators
Articolo in rivista - Articolo scientifico
Spherical functions; homogeneous trees; Laplace-Beltrami operators; heat kernels; heat semigroup
English
2000
352
9
4271
4293
none
Cowling, M., Meda, S., Setti, A. (2000). Estimates for functions of the Laplace operator on homogeneous trees. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 352(9), 4271-4293 [10.1090/S0002-9947-00-02460-0].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/18485
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