Dirichlet-to-Neumann or Poincaré-Steklov operator on fractals described by d -sets

Abstract : In the framework of the Laplacian transport, described by a Robin boundary value problem in an exterior domain in $\mathbb{R}^n$, we generalize the definition of the Poincaré-Steklov operator to $d$-set boundaries, $n-2< d
Liste complète des métadonnées

Cited literature [37 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01526951
Contributor : Anna Rozanova-Pierrat <>
Submitted on : Tuesday, July 4, 2017 - 3:36:32 PM
Last modification on : Thursday, December 6, 2018 - 1:59:47 PM
Document(s) archivé(s) le : Sunday, December 17, 2017 - 4:35:55 PM

Files

SteklovFractalPreprint.pdf
Files produced by the author(s)

Identifiers

Citation

Kevin Arfi, Anna Rozanova-Pierrat. Dirichlet-to-Neumann or Poincaré-Steklov operator on fractals described by d -sets. Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2019, 12 (1), pp.1-26. ⟨10.3934/dcdss.2019001 ⟩. ⟨hal-01526951v2⟩

Share

Metrics

Record views

283

Files downloads

212