-Stability of maximal monotone processes
Augusto Visintin
Università di Trento, Povo di Trento, Italy
![$\Gamma$-Stability of maximal monotone processes cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rlm-volume-32-issue-4.png&w=3840&q=90)
Abstract
The flow of noncyclic maximal monotone operators is formulated variationally as null-minimization problems, via results of Brezis, Ekeland, Nayroles and Fitzpatrick. By means of De Giorgi’s theory of -convergence, the compactness and the stability of these flows are derived under nonparametric perturbations of the operator. These results are here reviewed, and are applied to quasilinear equations arising in electromagnetism.
Cite this article
Augusto Visintin, -Stability of maximal monotone processes. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 32 (2021), no. 4, pp. 627–647
DOI 10.4171/RLM/951