Spectral Theory and Differential Operators
- 作者
- 出版社 Cambridge University Press
- 出版时间 1996年10月
- ISBN 0521587107 或 9780521587105
- 定价 405.30
内容简介
Thisbookisanintroductiontothetheoryofpartialdifferentialoperators.Itassumesthatthereaderhasaknowledgeofintroductoryfunctionalanalysis,uptothespectraltheoremforboundedlinearoperatorsonBanachspaces.However,itdescribesthetheoryofFouriertransformsanddistributionsasfarasisneededtoanalysethespectrumofanyconstantcoefficientpartialdifferentialoperator.Acompletelynewproofofthespectraltheoremforunboundedself-adjointoperatorsisfollowedbyitsapplicationtoavarietyofsecond-orderellipticdifferentialoperators,fromthosewithdiscretespectrumtoSchrödingeroperatorsactingonL2(RN).Thebookcontainsadetailedaccountoftheapplicationofvariationalmethodstoestimatetheeigenvaluesofoperatorswithmeasurablecoefficientsdefinedbytheuseofquadraticformtechniques.Thisbookcouldbeusedeitherforself-studyorasacoursetext,andaimstoleadthereadertothemoreadvancedliteratureonthesubject.
丛书
Cambridge Studies in Advanced Mathematics— END —