INVESTIGADORES
AIMAR Hugo Alejandro A.
artículos
Título:
On generalized divergence and Laplace operators as a matter of division of distributions
Autor/es:
AIMAR, HUGO; GÓMEZ, IVANA
Revista:
STUDIA MATHEMATICA
Editorial:
POLISH ACAD SCIENCES INST MATHEMATICS
Referencias:
Lugar: VARSOVIA; Año: 2022 vol. 267 p. 261 - 294
ISSN:
0039-3223
Resumen:
Motivated by the approach to the Laplacian on undirected weighted graphs, we provide a setting for a general point of view for a Kirchhoff type divergence and a Laplace operators built on the trivial gradient of order zero $f(y)-f(x)$. We consider some particular classical and new instances of this approach and we introduce a notion of derivative as a tool for approximation of these operators.
