Partial Differential Equations 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025

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Jost, Jurgen 作者

Springer Verlag

译者

2002-8 出版日期

336 页数

$ 79.04 价格

HRD

丛书系列

9780387954288 图书编码

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发表于2025-01-10

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Partial Differential Equations 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2025

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This book is intended for students who wish to get an introduction to the theory of partial differential equations. The author focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view towards nonlinear problems. These are maximum principle methods (particularly important for numerical analysis schemes), parabolic equations, variational methods, and continuity methods. This book also develops the main methods for obtaining estimates for solutions of elliptic equations: Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. Connections between elliptic, parabolic, and hyperbolic equations are explored, as well as the connection with Brownian motion and semigroups. This book can be utilized for a one-year course on partial differential equations. Jurgen Jost is Director of the Max Planck Institute for Mathematics in the Sciences and Professor of Mathematics at the University of Leipzig. He is the author of a number of Springer books, including Postmodern Analysis (1998), Compact Riemann Surfaces (1997) and Riemannian Geometry and Geometric Analysis (1995). The present book is an expanded translation of the original German version, Partielle Differentialgleichungen (1998).

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