书目名称 | Elliptic Equations: An Introductory Course |
编辑 | Michel Chipot |
视频video | |
概述 | Second edition introduces an array of new topics and two entirely new chapters.Outlines technical issues in a step-by-step fashion.Provides a good basis on elliptic and parabolic PDEs |
丛书名称 | Birkhäuser Advanced Texts‘ Basler Lehrbücher |
图书封面 |  |
描述 | The aim of this book is to introduce the reader to different topics of the theory of elliptic partial differential equations by avoiding technicalities and complicated refinements. Apart from the basic theory of equations in divergence form, it includes subjects as singular perturbations, homogenization, computations, asymptotic behavior of problems in cylinders, elliptic systems, nonlinear problems, regularity theory, Navier-Stokes systems, p-Laplace type operators, large solutions, and mountain pass techniques. Just a minimum on Sobolev spaces has been introduced and work on integration on the boundary has been carefully avoided to keep the reader attention focused on the beauty and variety of these issues..The chapters are relatively independent of each other and can be read or taught separately. Numerous results presented here are original, and have not been published elsewhere. The book will be of interest to graduate students and researchers specializing in partial differential equations. |
出版日期 | Textbook 2024Latest edition |
关键词 | Partial Differential Equations; Elliptic Equations; Navier-Stokes Equations; Sobolev Space; Large Soluti |
版次 | 2 |
doi | https://doi.org/10.1007/978-3-031-54123-0 |
isbn_ebook | 978-3-031-54123-0Series ISSN 1019-6242 Series E-ISSN 2296-4894 |
issn_series | 1019-6242 |
copyright | Springer Nature Switzerland AG 2024 |