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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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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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