A characterization of boundary conditions yielding maximal monotone operators
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In this article, a characterization for maximal monotone realizations for a certain class of nonlinear operators in terms of their corresponding boundary data spaces is provided, where the operators under consideration naturally arise in the study of evolutionary problems in mathematical physics.About:
This article is published in Journal of Functional Analysis.The article was published on 2014-10-15 and is currently open access. It has received 31 citations till now. The article focuses on the topics: Boundary value problem & Monotone polygon.read more
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Well-posedness via Monotonicity. An Overview
TL;DR: The idea of monotonicity (or positive-definiteness in the linear case) is shown to be the central theme of the solution theories associated with problems of mathematical physics.
Stabilisation of Infinite-Dimensional Port-Hamiltonian Systems via Dissipative Boundary Feedback
TL;DR: In this article, the authors investigated properties of the Euler-Bernoulli beam model and the Timshenko beam model on the abstract level, in particular well-posedness and asymptotic behavior.
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Linear wave systems on n-D spatial domains
Mikael Kurula,Hans Zwart +1 more
TL;DR: In this article, the linear wave equation on an n-dimensional spatial domain was studied and it was shown that there is a boundary triplet associated to the undamped wave equation.
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On abstract grad-div systems
TL;DR: In this paper, the authors consider a non-standard coupling mechanism and the incorporation of diffusive boundary conditions both modeled by setting associated with a skew-selfadjoint spatial operator A.
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On the continuous dependence on the coefficients of evolutionary equations
TL;DR: The functional analytic framework presented in this article is used to address continuous dependence of the solution operators of linear partial differential equations on the coefficients of a particular class of coefficients and provide criteria that guarantee the continuity of these coefficients under the norm, the strong, and the weak operator topology.
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Book
Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert
TL;DR: In this article, Operateurs Maximaux Monotones: Et Semi-Groupes De Contractions Dans Les Espaces De Hllbert are described and discussed. But the focus is not on the performance of the operators.
Book
Handbook of Multivalued Analysis
TL;DR: In this article, the authors present a special topic in Mathematical Economics and Optimization: Evolution Inclusions Involving Monotone Coercive Operators and Subdifferential Type.
Journal ArticleDOI
On the maximal monotonicity of subdifferential mappings.
TL;DR: In this article, it was shown that the subdifferential of a lower semicontinuous proper convex function on a Banach space is a maximal monotone operator, as well as a maximal cyclically monotonous operator.