●historicalbackgroundbr2thelebesguemeasureconvolutionbr3smoothingbyconvolutionbr4truncationradonmeasuresdistributionsbr5sobolevspacesmultiplicationbysmoothfunctionsbr6densityoftensorproductsconsequencesbr7extendingthenotionofsupportbr8sobolevsembeddingtheoremi≤p<nbr9sobolevsembeddingtheoremn≤p≤ br0poincaresinequalitybrtheequivalencelemmacompactembeddingsbr2regularityoftheboundaryconsequencesbr3tracesontheboundarybr4greensformulabr5thefouriertransformbr6tracesofhsrnbr7provingthatapointistoosmallbr8compactembeddingsbr9laxmilgramlemmabr20thespacehdivωbr2backgroundoninterpolationthecomplexmethodbr22realinterpolationkmethodbr23interpolationofl2spaceswithweightsbr24realinterpolationjmethodbr25interpolationinequalitiesthespacese0eθbr26thelionspeetrereiterationtheorembr27maximalfunctionsbr28bilinearandnonlinearinterpolationbr29obtaininglpbyinterpolationwiththeexactnormbr30myapproachtosobolev‘sembeddingtheorembr3mygeneralizationofsobolev’sembeddingtheorembr32sobolev‘sembeddingtheoremforbesovspacesbr33thelionsmagenesspaceh200ωbr34definingsobolevspacesandbesovspacesforbr35characterizationofwsprnbr36characterizationofwspbr37variantswithbvspacesbr38replacingbvbyinterpolationspacesbr39shocksforquasilinearhyperbolicsystemsbr40interpolationspacesastracespacesbr4dualityandcompactnessforinterpolationspacesbr42miscellaneousquestionsbr43biographicalinformationbr44abbreviationsandmathematicalnotationbrreferencesbrindex
Solving nonlinear partial differential equations sometimes requires a carefuluse of adapted functional spaces, and knowing the theory of interpolationspaces is helpful for creating a large family of such spaces, some of them quiteuseful.
Many of ttle nonlinear partial differential equations which are studied havetheir origin in continuum mechan等