激波和反应扩散方程（第2版）

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】

Mymainpurposeinthisbookistopresentaunifiedtreatmentofthatpartofmeasuretheorywhichinrecentyearshasshownitselftobemostusefulforitsapplicationsinmodernanalysis.IfIhaveaccomplishedmypurpose,thenthebookshouldbefoundusablebothasatextforstudentsandasasourceofreferenceforthemoreadvancedmathematician.
Ihavetriedtokeeptoaminimumtheamountofnewandunusualterminologyandnotation.Inthefewplaceswheremynomenclaturediffersfromthatintheexistingliteratureofmeasuretheory,Iwasmotivatedbyanattempttoharmonizewiththeusageofotherpartsofmathematics.Thereare,forinstance,soundalgebraicreasonsforusingtheterms"lattice"and"ring"forcertainclassesofsets--reasonswhicharemorecogentthanthesimilaritiesthatcausedHausdorfftouse"ring"and"field."

【目录】

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