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  • 偏微分方程 第3卷 第二版 英文版 泰勒 世界图书出版 Partial Differential Equations I
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    • 作者: Michael著
    • 出版社: 世界图书出版公司
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    • 作者: Michael著
    • 出版社:世界图书出版公司
    • ISBN:9788256208106
    • 版权提供:世界图书出版公司

     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     

     

    产品展示 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐
    基本信息 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐
    商品名称: 偏微分方程 第3卷
    作 者: 泰勒 Taylor M.E.
    定 价: 109.00
    重 量:  
    ISBN   号: 9787510068157
    出  版  社: SJ图书出版公司
    开 本: 24
    页 数: 715
    字 数:  
    装 帧:  
    出版时间/版次: 2014-1-1
    印刷时间/印次: 2014-1-1
    编辑推荐 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐
     
    内容介绍 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐
    Partial differential equations is a many-faceted subject. Created to describe the mechanical behavior of objects such as vibrating strings and blowing winds, it has developed into a body of material that interacts with many branches of math- ematics, such as differential geometry, complex analysis, and harmonic analysis, as well as a ubiquitous factor in the description and elucidation of problems in mathematical physics.
     
    作者介绍 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐
     
    目录 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐
    Contents of Volumes I and Ⅱ
    Preface
    13 Function Space and Operator Theory for Nonlinear Analysis
    1 Lp-Sobolev spaces
    2 Sobolev imbedding theorems
    3 Gagliardo-Nirenberg-Moserestimates
    4 Trudinger's inequalities
    5 Singularintegraloperatorson Lp
    6 The spaces Hs,p
    7 IP-spectral theory of the Laplace operator
    8 Holder spaces and Zygmund spaces
    9 Pseudodifferential operators with nonregular symbols
    10 Paradifferential operators
    11 Young measures and fuzzy functions
    12 Hardy spaces
    A Variations on complexinterpolatio
    References

    14 Nonlinear Elliptic Equations
    1 A class of semilinear equations
    2 Surfaces with negative curvature
    3 Local solvability of nonlinear elliptic equations
    4 Elliptic regularity I (interior estimates)
    5 Isometric imbedding of Riemannian manifolds
    6 Minimal surfaces
    6B Second variation ofarea
    7Theminimalsurfaceequation
    8 Elliptic regularity II (boundary estimates)
    9 Elliptic regularity III (DeGiorgi-Nash-Moser theory)
    10 The Dirichlet problem for quasi-linear elliptic equations
    11 Direct methods in the calculus of variations
    12 Quasi-linear elliptic systems
    12 BFurther results on quasi-linear systems
    13 Elliptic regularity IV (Krylov-Safonov estimates)
    14 Regularity for a class of completely nonlinear equations
    15 Monge-Ampere equations
    16 Elliptic equations in two variables
    A Morrey spaces
    B Leray-Schauder fixed-point theorems
    References

    15 Nonlinear Parabolic Equations
    1 Semilinear parabolic equations
    2 Applications to harmonic maps
    3 Semilinear equations on regions with boundary
    4 Reaction-diffusion equations
    5 A nonlinear Trotter product formula
    6 The Stefan problem
    7 Quasi-Iinear parabolic equations I
    8 Quasi-linear parabolic equations II (sharper estimates)
    9 Quasi-Iinear parabolic equations III (Nash-Moser estimates)
    References

    16 Nonlinear Hyperbolic Equations
    1 Quasi-Iinear, symmetric hyperbolic systems
    2 Symmetrizable hyperbolic systems
    3 Second-order and higher-order hyperbolic systems
    4 Equations in the complex domain and the Cauchy Kowalewsky theorem
    5 Compressible fiuid motion
    6 Weak solutions to scalar conservation laws; the viscosity method
    7 Systems of conservation laws in one space variable; Riemann problems
    8 Entropy-flux pairs and Riemann invariants
    9 Global weak solutions of some 2 x 2 systems
    10 Vibrating strings revisited
    References

    17 Euler and Navier-Stokes Equations forlncompressible Fluids
    1 Euler's equations for ideal incompressible fluid flow
    2 Existence of solutions to the Euler equations
    3 Euler flows on bounded regions
    4 Navier-Stokes equations
    5 Viscous flows on bounded regions
    6 Vanishing viscosity limits
    7 From velocity field convergence to fiow convergence
    A Regularity for the Stokes system on bounded domains
    References

    18 Einstein's Equations
    Index
    在线试读部分章节 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐
     

     

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