激波和反应扩散方程（第2版）
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作者J.Smoller 编
出版社世界图书出版公司
出版时间1999-03
版次2
装帧平装
货号D1-2
上书时间2024-03-22
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图书标准信息
- 作者 J.Smoller 编
- 出版社 世界图书出版公司
- 出版时间 1999-03
- 版次 2
- ISBN 9787506241007
- 定价 79.00元
- 装帧 平装
- 开本 24开
- 纸张 胶版纸
- 页数 632页
- 【内容简介】
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Mymainpurposeinthisbookistopresentaunifiedtreatmentofthatpartofmeasuretheorywhichinrecentyearshasshownitselftobemostusefulforitsapplicationsinmodernanalysis.IfIhaveaccomplishedmypurpose,thenthebookshouldbefoundusablebothasatextforstudentsandasasourceofreferenceforthemoreadvancedmathematician.
Ihavetriedtokeeptoaminimumtheamountofnewandunusualterminologyandnotation.Inthefewplaceswheremynomenclaturediffersfromthatintheexistingliteratureofmeasuretheory,Iwasmotivatedbyanattempttoharmonizewiththeusageofotherpartsofmathematics.Thereare,forinstance,soundalgebraicreasonsforusingtheterms"lattice"and"ring"forcertainclassesofsets--reasonswhicharemorecogentthanthesimilaritiesthatcausedHausdorfftouse"ring"and"field." - 【目录】
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Acknowledgment
PrefacetotheSecondEdition
PrefacetotheFirstEdition
ListofFrequentlyUsedSymbols
PARTⅠBasicLinearTheory
CHAPTER1lll-PosedProblems
CHAPTER2CharacteristicsandInitial-ValueProblems
CHAPTER3TheOne-DimensionalWaveEquation
CHAPTER4UniquenessandEnergyIntegrals
CHAPTER5Holmgren'sUniquenessTheorem
CHAPTER6AnInitial-ValueProblemforaHyperbolicEquation
CHAPTER7DistributionTheory
CHAPTER8Second-OrderLinearEllipticEquations
CHAPTER9Second-OrderLinearParabolicEquations
PARTⅡReaction-DiffusionEquations
CHAPTER10ComparisonTheoremsandMonotonicityMethods
CHAPTER11Linearization
CHAPTER12TopologicalMethods
CHAPTER13BifurcationTheory
CHAPTER14SystemsofReaction-DiffusionEquations
PARTⅢTheTheoryofShockWaves
CHAPTER15DiscontinuousSolutionsofConservationLaws
CHAPTER16TheSingleConservationLaw
CHAPTER17TheRiemannProblemforSystemsofConservationLaws
CHAPTER18ApplicationstoGasDynamics
CHAPTER19TheGlimmDifferenceScheme
CHAPTER20RiemannInvariants.Entropy.andUniqueness
CHAPTER21Quasi-LinearParabolicSystems
PARTⅣTheConleyIndex
CHAPTER22TheConleyIndex
CHAPTER23IndexPairsandtheContinuationTheorem
CHAPTER24TravellingWaves
CHAPTER25RecentResults
Bibliography
AuthorIndex
SubjectIndex
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