Variational and Semigroup Methods for Waves and Diffusion in Networks
Analysis of PDEs
2018-12-21 v1 Mathematical Physics
Combinatorics
math.MP
Abstract
We study diffusion and wave equations in networks. Combining semigroup and variational methods we obtain well-posedness and many nice properties of the solutions in general L^p -context. Following earlier articles of other authors, we discuss how the spectrum of the generator can be connected to the structure of the network. We conclude by describing asymptotic behavior of solutions to the diffusion problem.
Cite
@article{arxiv.1209.1495,
title = {Variational and Semigroup Methods for Waves and Diffusion in Networks},
author = {Marjeta Kramar Fijavz and Delio Mugnolo and and Eszter Sikolya},
journal= {arXiv preprint arXiv:1209.1495},
year = {2018}
}