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arXiv · 1706.02172

Evolutionary $\Gamma$-convergence of weak-type

Augusto Visintin
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Abstract

A notion of evolutionary $\Gamma$-convergence of weak type is introduced for sequences of operators acting on time-dependent functions. This extends the classical definition of $\Gamma$-convergence of functionals due to De Giorgi. The $\Gamma$-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.

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Augusto Visintin. 2017-06-06. Evolutionary $\Gamma$-convergence of weak-type. https://arxiv.org/abs/1706.02172

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