G-convergence of monotone operators
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In this article, a general notion of G-convergence for sequences of maximal monotone operators of the form h → + ∞, of the solutions u h to the equations and of their momenta a h (x, D u h ).Abstract:
A general notion of G-convergence for sequences of maximal monotone operators of the form is introduced in terms of the asymptotic behavior, as h → + ∞, of the solutions u h to the equations and of their momenta a h ( x , D u h ). The main results of the paper are the local character of the G-convergence and the G-compactness of some classes of nonlinear monotone operators.read more
Citations
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References
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Asymptotic Analysis of Periodic Structures
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Asymptotic analysis for periodic structures
TL;DR: In this article, the authors give a systematic introduction of multiple scale methods for partial differential equations, including their original use for rigorous mathematical analysis in elliptic, parabolic, and hyperbolic problems, and with the use of probabilistic methods when appropriate.
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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.
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Non-Homogeneous Media and Vibration Theory
TL;DR: In this article, a spectral perturbation of spectral families and applications to self-adjoint eigenvalue problems are discussed, as well as the Trotter-Kato theorem and related topics.
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Convex analysis and measurable multifunctions
Charles Castaing,Michel Valadier +1 more
TL;DR: In this paper, the authors consider convex functions with topological properties of the profile of a convex multifunction with compact convex values and prove the compactness theorems of measurable selections and integral representation theorem.