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- Aubin–Lions_lemma abstract "In mathematics, the Aubin–Lions lemma (or theorem) is a result in the theory of Sobolev spaces of Banach space-valued functions, which provides a compactness criterion that is useful in the study of nonlinear evolutionary partial differential equations. Typically, to prove the existence of solutions one first constructs approximate solutions (for example, by a Galerkin method or by mollification of the equation), then uses the compactness lemma to show that there is a convergent subsequence of approximate solutions whose limit is a solution.The result is named after the French mathematicians Jean-Pierre Aubin and Jacques-Louis Lions. In the original proof by Aubin, the spaces X0 and X1 in the statement of the lemma were assumed to be reflexive, but this assumption was removed by Simon, so the result is also referred to as the Aubin–Lions–Simon lemma.".
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- Aubin–Lions_lemma wikiPageOutDegree "18".
- Aubin–Lions_lemma wikiPageRevisionID "683795460".
- Aubin–Lions_lemma wikiPageWikiLink Banach_space.
- Aubin–Lions_lemma wikiPageWikiLink Category:Banach_spaces.
- Aubin–Lions_lemma wikiPageWikiLink Category:Lemmas.
- Aubin–Lions_lemma wikiPageWikiLink Category:Measure_theory.
- Aubin–Lions_lemma wikiPageWikiLink Category:Theorems_in_functional_analysis.
- Aubin–Lions_lemma wikiPageWikiLink Compact_embedding.
- Aubin–Lions_lemma wikiPageWikiLink Compact_space.
- Aubin–Lions_lemma wikiPageWikiLink Continuous_embedding.
- Aubin–Lions_lemma wikiPageWikiLink France.
- Aubin–Lions_lemma wikiPageWikiLink Galerkin_method.
- Aubin–Lions_lemma wikiPageWikiLink Jacques-Louis_Lions.
- Aubin–Lions_lemma wikiPageWikiLink Jean-Pierre_Aubin.
- Aubin–Lions_lemma wikiPageWikiLink Mathematician.
- Aubin–Lions_lemma wikiPageWikiLink Mathematics.
- Aubin–Lions_lemma wikiPageWikiLink Mollifier.
- Aubin–Lions_lemma wikiPageWikiLink Partial_differential_equation.
- Aubin–Lions_lemma wikiPageWikiLink Reflexive_space.
- Aubin–Lions_lemma wikiPageWikiLink Sobolev_space.
- Aubin–Lions_lemma wikiPageWikiLinkText "Aubin–Lions lemma".
- Aubin–Lions_lemma wikiPageUsesTemplate Template:Cite_book.
- Aubin–Lions_lemma wikiPageUsesTemplate Template:Cite_news.
- Aubin–Lions_lemma wikiPageUsesTemplate Template:Reflist.
- Aubin–Lions_lemma subject Category:Banach_spaces.
- Aubin–Lions_lemma subject Category:Lemmas.
- Aubin–Lions_lemma subject Category:Measure_theory.
- Aubin–Lions_lemma subject Category:Theorems_in_functional_analysis.
- Aubin–Lions_lemma hypernym Result.
- Aubin–Lions_lemma type Function.
- Aubin–Lions_lemma type Lemma.
- Aubin–Lions_lemma type Redirect.
- Aubin–Lions_lemma type Space.
- Aubin–Lions_lemma type Theorem.
- Aubin–Lions_lemma comment "In mathematics, the Aubin–Lions lemma (or theorem) is a result in the theory of Sobolev spaces of Banach space-valued functions, which provides a compactness criterion that is useful in the study of nonlinear evolutionary partial differential equations.".
- Aubin–Lions_lemma label "Aubin–Lions lemma".
- Aubin–Lions_lemma sameAs Q4819058.
- Aubin–Lions_lemma sameAs m.03gtn3d.
- Aubin–Lions_lemma sameAs Q4819058.
- Aubin–Lions_lemma wasDerivedFrom Aubin–Lions_lemma?oldid=683795460.
- Aubin–Lions_lemma isPrimaryTopicOf Aubin–Lions_lemma.