Evolutionary Γ-convergence of weak-type

2017/06/06 by Augusto Visintin, Visintin, Augusto
Computer Science · Mathematics · #35K60 #47H05 #49J40 #58E #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Approximation Theory and Sequence Spaces #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1706.02172

openalex publication_date 2017/06/06 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28

Abstract

A notion of evolutionary Γ-convergence of weak type is introduced for sequences of operators acting on time-dependent functions. This extends the classical definition of Γ-convergence of functionals due to De Giorgi. The Γ-compactness of equi-coercive and equi-bounded sequences of operators is proved. Applications include the structural compactness and stability of quasilinear flows for pseudo-monotone operators.

Citations

• Lecture Notes on Gradient Flows and Optimal Transport

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