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Lectures Year : 2010

Describing lack of compactness in Sobolev spaces

Abstract

We review the concentration-compactness method and the profile decomposition in Sobolev spaces, which allow to describe the possible lack of compactness of sequences in these spaces.
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Dates and versions

hal-02450559 , version 1 (23-01-2020)
hal-02450559 , version 2 (03-02-2020)
hal-02450559 , version 3 (06-02-2020)

Identifiers

  • HAL Id : hal-02450559 , version 3

Cite

Mathieu Lewin. Describing lack of compactness in Sobolev spaces. Master. Variational Methods in Quantum Mechanics, France. 2010. ⟨hal-02450559v3⟩
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