偏微分方程
￥ 23.99 4.9折 ￥ 49 九五品
仅1件
浙江杭州
认证卖家担保交易快速发货售后保障
作者约斯特(Jost.J.)
出版社世界图书出版公司
ISBN9787510032967
出版时间2011-04
版次1
装帧平装
开本16开
纸张胶版纸
页数356页
定价49元
上书时间2024-08-01
商品详情
- 品相描述：九五品
- 商品描述
-
基本信息
书名:偏微分方程
定价：49.00元
作者:约斯特(Jost.J.)
出版社：世界图书出版公司
出版日期：2011-04-01
ISBN：9787510032967
字数：
页码：356
版次：1
装帧：平装
开本：24开
商品重量：
编辑推荐
《偏微分方程(第2版)》是由世界图书出版公司出版的。
内容提要
《偏微分方程(第2版)》是一部讲述偏微分方程理论的入门书籍。全书以椭圆偏微分为核心，系统讲述了相关内容，涉及到不少非线性问题，如，值原理方法，抛物方程和变分法。书中讲述了椭圆方程解的估计的主要方法，sobolev空间理论，弱解和强解，schauder估计，moser迭代。展示了椭圆，抛物和双曲解以及布朗运动，半群之间的关系。《偏微分方程(第2版)》可以作为一年级的教程，在这新的版本中增加了反应-扩散方程和系统，新材料有neumann边值问题，poincaré不等式，以及一个新的证明，poisson方程解的hlder规则等。目次：以拉普拉斯方程为原型的二阶椭圆偏微分方程；值原理；存在性技巧ⅰ：基于值原理的方法；存在性技巧ⅱ：抛物方法.热方程；反应-扩散方程和系统；波方程以及与laplace的关系和热方程；热方程，半群和布朗运动；dirichlet原理，pde解的变分法；sobolev空间和l2规范性理论；强解；schauder规范理论和连续性方法；moser迭代法和de giorgi和nash规范性定理。读者对象：数学专业高年级的本科生，研究生和相关科研人员。
目录
introduction: what are partial differential equations?1. the laplace equation as the prototype of an elliptic partial differential equation of second order1.1 harmonic functions. representation formula for the solution of the dirichlet problem on the ball (estence techniques 0)1.2 mean value properties of harmonic functions. subharmonic functions. the mamum principle2. the mamum principle2.1 the mamum principle of e. hopf2.2 the mamum principle of alexandrov and bakelman2.3 mamum principles for nonlinear differential equations3. estence techniques i: methods based on the mamum principle3.1 difference methods: discretization of differential equations3.2 the perron method3.3 the alternating method of h.a. schwarz3.4 boundary regularity4. estence techniques ii: parabolic methods. the heat equation4.1 the heat equation: definition and mamum principles4.2 the fundamental solution of the heat equation. the heat equation and the laplace equation4.3 the initial boundary value problem for the heat equation4.4 discrete methods5. reaction-diffusion equations and systems5.1 reaction-diffusion equations5.2 reaction-diffusion systems5.3 the turing mechanism6. the wave equation and its connections with the laplace and heat equations6.1 the one-dimensional wave equation6.2 the mean value method: solving the wave equation through the darboux equation6.3 the energy inequality and the relation with the heat equation7. the heat equation, semigroups, and brownian motion7.emigroups7.2 infinitesimal generators of semigroups7.3 brownian motion8. the dirichlet principle. variational methods for the solu- tion of pdes (estence techniques iii)8.1 dirichlet's principle8.2 the sobolev space w1,28.3 weak solutions of the poisson equation8.4 quadratic variational problems8.5 abstract hilbert space formulation of the variational prob- lem. the finite element method8.6 convex variational problems9. sobolev spaces and l2 regularity theory9.1 general sobolev spaces. embedding theorems of sobolev, morrey, and john-nirenberg9.2 l2-regularity theory: interior regularity of weak solutions of the poisson equation9.3 boundary regularity and regularity results for solutions of general linear elliptic equations9.4 extensions of sobolev functions and natural boundary con- ditions9.5 eigenvalues of elliptic operators10. strong solutions10.1 the regularity theory for strong solutions10.2 a survey of the lp-regularity theory and applications to solutions of semilinear elliptic equations11. the regularity theory of schauder and the continuity method (estence techniques iv)11.1 ca-regularity theory for the poisson equation11.2 the schauder estimates11.3 estence techniques iv: the continuity method12. the moser iteration method and the regularity theorem of de giorgi and nash12.1 the moser-harnack inequality12.2 properties of solutions of elliptic equations12.3 regularity of minimizers of variational problemsappendix. banach and hilbert spaces. the lp-spacesreferencesindex of notationindex
作者介绍
作者：（德国）约斯特（Jost.J.）
序言
-
【封面】
相关推荐
— 没有更多了 —
以下为对购买帮助不大的评价