偏微分方程(第3卷)(第2版)
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作者[美]泰勒(Taylor M.E.) 著
出版社世界图书出版公司
出版时间2014-01
版次2
装帧平装
货号B506
上书时间2019-03-24
商品详情
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正版新书,无笔记无划线。如有品相缺陷,发货前主动告知,根据顾客意见发货或取消订单。本公司可提供增值税普通发票,需要开发票请提供报销单位和单位税号。
- 商品描述
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正版新书,无笔记无划线。如有品相缺陷,发货前主动告知,根据顾客意见发货或取消订单。本公司可提供增值税普通发票,需要开发票请提供报销单位和单位税号。
图书标准信息
-
作者
[美]泰勒(Taylor M.E.) 著
-
出版社
世界图书出版公司
-
出版时间
2014-01
-
版次
2
-
ISBN
9787510068157
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定价
109.00元
-
装帧
平装
-
开本
24开
-
纸张
胶版纸
-
页数
715页
-
正文语种
英语
- 【内容简介】
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Partialdifferentialequationsisamany-facetedsubject.Createdtodescribethemechanicalbehaviorofobjectssuchasvibratingstringsandblowingwinds,ithasdevelopedintoabodyofmaterialthatinteractswithmanybranchesofmath-ematics,suchasdifferentialgeometry,complexanalysis,andharmonicanalysis,aswellasaubiquitousfactorinthedescriptionandelucidationofproblemsinmathematicalphysics.
- 【目录】
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ContentsofVolumesIandⅡ
Preface
13FunctionSpaceandOperatorTheoryforNonlinearAnalysis
1Lp-Sobolevspaces
2Sobolevimbeddingtheorems
3Gagliardo-Nirenberg-Moserestimates
4Trudinger'sinequalities
5SingularintegraloperatorsonLp
6ThespacesHs,p
7IP-spectraltheoryoftheLaplaceoperator
8HolderspacesandZygmundspaces
9Pseudodifferentialoperatorswithnonregularsymbols
10Paradifferentialoperators
11Youngmeasuresandfuzzyfunctions
12Hardyspaces
AVariationsoncomplexinterpolatio
References
14NonlinearEllipticEquations
1Aclassofsemilinearequations
2Surfaceswithnegativecurvature
3Localsolvabilityofnonlinearellipticequations
4EllipticregularityI(interiorestimates)
5IsometricimbeddingofRiemannianmanifolds
6Minimalsurfaces
6BSecondvariationofarea
7Theminimalsurfaceequation
8EllipticregularityII(boundaryestimates)
9EllipticregularityIII(DeGiorgi-Nash-Mosertheory)
10TheDirichletproblemforquasi-linearellipticequations
11Directmethodsinthecalculusofvariations
12Quasi-linearellipticsystems
12BFurtherresultsonquasi-linearsystems
13EllipticregularityIV(Krylov-Safonovestimates)
14Regularityforaclassofcompletelynonlinearequations
15Monge-Ampereequations
16Ellipticequationsintwovariables
AMorreyspaces
BLeray-Schauderfixed-pointtheorems
References
15NonlinearParabolicEquations
1Semilinearparabolicequations
2Applicationstoharmonicmaps
3Semilinearequationsonregionswithboundary
4Reaction-diffusionequations
5AnonlinearTrotterproductformula
6TheStefanproblem
7Quasi-IinearparabolicequationsI
8Quasi-linearparabolicequationsII(sharperestimates)
9Quasi-IinearparabolicequationsIII(Nash-Moserestimates)
References
16NonlinearHyperbolicEquations
1Quasi-Iinear,symmetrichyperbolicsystems
2Symmetrizablehyperbolicsystems
3Second-orderandhigher-orderhyperbolicsystems
4EquationsinthecomplexdomainandtheCauchyKowalewskytheorem
5Compressiblefiuidmotion
6Weaksolutionstoscalarconservationlaws;theviscositymethod
7Systemsofconservationlawsinonespacevariable;Riemannproblems
8Entropy-fluxpairsandRiemanninvariants
9Globalweaksolutionsofsome2x2systems
10Vibratingstringsrevisited
References
17EulerandNavier-StokesEquationsforlncompressibleFluids
1Euler'sequationsforidealincompressiblefluidflow
2ExistenceofsolutionstotheEulerequations
3Eulerflowsonboundedregions
4Navier-Stokesequations
5Viscousflowsonboundedregions
6Vanishingviscositylimits
7Fromvelocityfieldconvergencetofiowconvergence
ARegularityfortheStokessystemonboundeddomains
References
18Einstein'sEquations
Index
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