Linear non-local diffusion problems in metric measure spaces

DOI10.1017/S0308210515000724zbMath1357.45009arXiv1412.5438MaRDI QIDQ5507006

Silvia Sastre-Gómez, Aníbal Rodgriguez-Bernal

Publication date: 16 December 2016

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5438

zbMATH Keywords

regularityheat equationspectrumpositivitycompactnessasymptotic behaviourspectral methodsnon-local diffusionmetric measure spaceslinear problemstationary non-local operator

Mathematics Subject Classification ID

Heat equation (35K05) Asymptotics of solutions to integral equations (45M05) Integral operators (47G10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Abstract integral equations, integral equations in abstract spaces (45N05) Eigenvalue problems for integral equations (45C05) Linear integral equations (45A05) Positive solutions of integral equations (45M20)

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