PARTIAL COMPACTNESS FOR LANDAU-LIFSHITZ MAXWELL EQUATION IN TWO-DIMENSION

(整期优先)网络出版时间:2011-02-12
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Westudythepartialregularityofweaksolutionstothe2-dimensionalLandauLifshitzequationscoupledwithtimedependentMaxwellequationsbyGinzburg-Landautypeapproximation.Outsideanenergyconcentrationsetoflocallyfinite2-dimensionalparabolicHausdorffmeasure,weprovetheuniformlocalC∞boundsfortheapproachingsolutionsandthenextractasubsequenceconvergingtoaglobalweaksolutionoftheLandau-Lifshitz-Maxwellequationswhicharesmoothawayfromfinitelymanypoints.