- 偏微分方程(第3卷第2版)
- - 作者：(美)泰勒
  - 出版社：世界图书出版公司
  - ISBN：9787510068157
  - 出版日期：2014/01/01
  - 页数：715
- 售价：43.6

内容大纲
作者介绍
目录
Contents of Volumes I and H
Preface
13  Function Space and Operator Theory for Nonlinear Analysis
    1  LP-Sobolev spaces
    2  Sobolev imbedding theorems
    3  Gagliardo-Nirenberg-Moser estimates
    4  Trudinger's inequalities
    5  Singular integral operators on Lp
    6  The spaces Hs'p
    7  LP-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 complex interpolation
       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 of area
    7  The minimal surface equation
    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
    12B  Further results on quasi-linear systems
    13  Elliptic regularity IV (Krylov-Safonov estimates)
    14  Regularity for a class of completely nonlinear equations
    15  Monge-Ampereequations
    16  Elliptic equations in two variables
    A  Morrey spaces
    B  Leray-Schauder fixed-point theorems
       References
15  Nonlinear Parabolic Equations
    1  Semitinear 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-linear parabolic equations I
    8  Quasi-linear parabolic equations II (sharper estimates)
    9  Quasi-linear parabolic equations III (Nash-Moser estimates)
       References

16  Nonlinear Hyperbolic Equations
    1  Quasi-linear, symmetric hyperbolic systems
    2  Symmetrizable hyperbolic systems
    3  Second-orderand higher-orderhyperbolic systems
    4  Equations in the complex domain and the Cauchy- Kowalewsky theorem
    5  Compressible fluid 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 for Incompressible 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 flow convergence
    A  Regularity for the Stokes system on bounded domains
       References
18  Einstein's Equations
    1  The gravitational field equations
    2  Spherically symmetric spacetimes and the Schwarzschild solution
    3  Stationary and static spacetimes
    4  Orbits in Schwarzschild spacetime
    5  Coupled Maxwell-Einstein equations
    6  Relativistic fluids
    7  Gravitational collapse
    8  The initial-value problem
    9  Geometry of initial surfaces
    10  Time slices and their evolution
        References
Index

内容大纲

作者介绍

目录

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