Microlocal defect measures
作者： Patrick Gérard
DOI: 10.1080/03605309108820822
关键词: Compactness theorem 、 Weak continuity 、 Systems of partial differential equations 、 Partial differential equation 、 Differential operator 、 Mathematical analysis 、 Quadratic form 、 Compact space 、 Mathematics 、 Homogenization (chemistry)
摘要: In order to study weak continuity of quadratic forms on spaces L2 solutions systems partial differential equations, we define defect measures the space positions and frequencies.A systematic use these leads in particular a compensated compactness theorem, generalizing MURAT"TARTAR's variable coefficients GOLSE"LIONS"PERTHAME"SENTIS's averaging lemma. We also obtain results homogenization for operators I with oscillating coefficients.
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