线性偏微分算子分析（第4卷 英文版） - Softcover

[瑞典]赫尔曼德尔

Softcover

ISBN 10: 7519209296 ISBN 13: 9787519209292

Publisher: 世界图书出版公司, 2016

Synopsis

《线性偏微分算子分析（第4卷英文版）》作者赫尔曼德尔是世界公认的数学分析领头学者，这套4卷集的经典名著以广义函数论为框架，论述了与偏微分方程理论有关的经典分析和现代分析的许多精华内容。第4卷目次：拉格朗日分布和傅立叶积分算子；主型的伪微分算子；次椭圆算子柯西问题的惟一性；谱渐近；长区域散射。IntroductionChapterXXV．LagrangianDistributionsandFourierIntegralOperatorsSummary25．1．LagrangianDistributions25．2．TheCalculusofFourierIntegralOperators25．3．SpecialCasesoftheCalculus，andL2Continuity25．4．DistributionsAssociatedwithPositiveLagrangianIdeals25．5．FourierIntegralOperatorswithComplexPhaseNotesChapterXXVI．Pseudo-DifferentialOperatorsofPrincipalType．Summary26．1．OperatorswithRealPrincipalSymbols26．2．TheComplexInvolutiveCase26．3．TheSymplecticCase26．4．SolvabilityandCondition（ψ）26．5．GeometricalAspectsofCondition（P）26．6．TheSingularitiesinN1126．7．DegenerateCauchy-RiemannOperators26．8．TheNirenberg-TrevesEstimate26．9．TheSingularitiesinNe/2andinNe/1226．10．TheSingularitiesonOneDimensionalBicharacteristics26．11．ASemi-GlobalExistenceTheoremNotesChapterXXVII．SubellipticOperatorsSummary27．1．DefinitionsandMainResults27．2．TheTaylorExpansionoftheSymbol27．3．SubellipticOperatorsSatisfying（P）27．4．LocalPropertiesoftheSymbol27．5．LocalSubellipticEstimates27．6．GlobalSubellipticEstimatesNotesChapterXXVIII．UniquenessfortheCauchyproblemSummary28．1．Calderon'sUniquenessTheorem28．2．GeneralCarlemanEstimates28．3．UniquenessUnderConvexityConditions28．4．SecondOrderOperatorsofRealPrincipalTypeNote

Edition details

• Publisher: 世界图书出版公司
• Publication date: 2016
• Language: Chinese
• ISBN 10: 7519209296
• ISBN 13: 9787519209292
• Binding: Paperback
• Edition number: 1