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Perturbed Evolution Problems with Continuous Bounded Variation in Time and Applications.
- Source :
- Set-Valued & Variational Analysis; Sep2018, Vol. 26 Issue 3, p693-728, 36p
- Publication Year :
- 2018
-
Abstract
- This paper is devoted to the study of evolution problems of the form −dudr(t)∈A(t)u(t)+f(t,u(t))<inline-graphic></inline-graphic> in a new setting, where, for each t, A(t) : D(A(t)) → 2<superscript>H</superscript> is a maximal monotone operator in a Hilbert space H and the mapping t↦A(t) has continuous bounded or Lipschitz variation on [0, T], in the sense of Vladimirov’s pseudo-distance. The measure dr gives an upper bound of that variation. The perturbation f is separately integrable on [0, T] and separately Lipschitz on H. Several versions and new applications are presented. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 18770533
- Volume :
- 26
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Set-Valued & Variational Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 131207313
- Full Text :
- https://doi.org/10.1007/s11228-017-0432-9