非线性复分析及其应用

图书标准信息

• 作者 Guochun、Dechang、Zuoliang Xu 著；科学出版社 编
• 出版社 科学出版社
• 出版时间 2008-05
• 版次 1
• ISBN 9787030212962
• 定价 86.00元
• 装帧 精装
• 开本 16开
• 纸张 胶版纸
• 页数 447页
• 正文语种 英语

【内容简介】

　　Thebookisacontinuationofdevelopmentof"Boundaryvalueproblemsfornonlinearellipticequationsandsystems"and"Linearandquasilinearequationsofhyperbolicandmixedtypes".Alargeportionoftheworkisdevotedtoboundaryvalueproblemsforgeneralellipticcomplexequationsoffirst,secondandfourthorder,initial-boundaryvalueproblemsfornonlinearparaboliccomplexequationsoffirstandsecondorder.Moreover,someresultsaboutfirstandsecondordercomplexequationsofmixed(elliptic-hyperbolic)typeareinvestigated.Applicationsofnonlinearcomplexanalysistocontinuummechanicsarealsointroduced.

【目录】

Preface
Chapter1NonlinearEllipticComplexEquationsofFirstOrder
1.1DiscontinuousRiemann-HilbertProblemforNonlinearUniformlyEllipticComplexEquationsofFirstOrder
1.2BoundaryValueProblemsforEllipticComplexEquationswithNonsmoothBoundary
1.3NonlinearRiemann-HilbertProblemforEllipticComplexEquationsinMultiplyConnectedDomains
1.4TheRiemann-HilbertProblemforQuasilinearDegenerateEllipticComplexEquationsofFirstOrder
1.5DiscontinuousRiemann-HilbertProblemforQuasilinearDegenerateEllipticComplexEquationsofFirstOrder
Chapter2NonlinearEllipticEquationsofSecondOrder
2.1DiscontinuousObliqueDerivativeProblemforUniformlyEllipticComplexEquationsofSecondOrder
2.2PoincareBoundaryValueProblemforNonlinearEllipticEquationsofSecondOrder
2.3GeneralObliqueDerivativeProblemforNonlinearEllipticEquationsofSecondOrder
2.4DiscontinuousIrregularObliqueDerivativeProblemofNonlinearEllipticEquationsofSecondOrder
2.5BoundaryValueProblemsforNonlinearDegenerateEllipticEquationsofSecondOrder
Chapter3NonlinearEllipticSystemsofEquations
3.1BoundaryValueProblemsforUniformlyEllipticSystemsofSecondOrderEquations
3.2BoundaryValueProblemsforNonlinearEllipticSystemsofSecondOrderEquations
3.3BoundaryValueProblemsofNonlinearEllipticSystemsofSeveralFirstOrderComplexEquations
3.4BoundaryValueProblemsforNonlinearEllipticSystemswithSeveralUnknownFunctions
3.5DegenerateEllipticSystemsofSecondOrderwithSeveralUnknownFunctions
3.6BoundaryValueProblemsforNonlinearEllipticComplexEquationsSecondOrder
5.3ObliqueDerivativeProblemforQuasilinearDegenerateHyperbolicEquationsofSecondOrder
5.4CauchyProblemforQuasilinearHyperbolicEquationswithDegenerateRank0
5.5DarbouxTypeProblemforDegenerateHyperbolicSystemsofSecondOrderEquations
Chapter6QuasilinearEquationsofMixedType
6.1TheRiemann-HilbertProblemforFirstOrderComplexEquationsofMixedTypewithDegenerateLine
6.2TheTricomiProblemforSecondOrderQuasilinearEquationsofMixedTypewithParabolicDegeneracy
6.3FranklTypeProblemforSecondOrderQuasilinearDegenerateEquationsofMixedType
6.4BoundaryValueProblemsforDegenerateEquationsofMixedTypeinMultiplyConnectedDomains
6.5ObliqueDerivativeProblemforQuasilinearEquationsofMixedTypewithNonsmoothDegenerateLine
6.6ObliqueDerivativeProblemforSecondOrderQuasilinearSystemsofMixedTypewithParabolicDegeneracy
Chapter7ApplicationsofNonlinearComplexAnalysistoContinuumMechanics
7.1FreeBoundaryProblemsinPlanarFiltration
7.2DegenerateEllipticBoundaryValueProblemandAxisymmetricFiltration
7.3SomeFreeBoundaryProblemsinPlanarSubsonicFlow
7.4FreeBoundaryProblemsforCavityFlowsinGasDynamics
7.5FreeBoundaryProblemsinElastico-PlasticMechanics
References