A note on compactness-type properties with respect to Lorentz norms of bounded subsets of a Sobolev Space
Sergio Solimini (1995)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “ regularity of velocity averages”
A note on compactness-type properties with respect to Lorentz norms of bounded subsets of a Sobolev Space
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Pierre-Emmanuel Jabin, Benoît Perthame (2002)
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We present a new class of averaging lemmas directly motivated by the question of regularity for different nonlinear equations or variational problems which admit a kinetic formulation. In particular they improve the known regularity for systems like in isentropic gas dynamics or in some variational problems arising in thin micromagnetic films. They also allow to obtain directly the best known regularizing effect in multidimensional scalar conservation laws. The new ingredient here...
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