Stable Solutions of Elliptic Partial Differential Equations is popular PDF and ePub book, written by Louis Dupaigne in 2011-03-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Stable Solutions of Elliptic Partial Differential Equations can be Read Online from any device for your convenience.
Stable Solutions of Elliptic Partial Differential Equations Book PDF Summary
Stable solutions are ubiquitous in differential equations. They represent meaningful solutions from a physical point of view and appear in many applications, including mathematical physics (combustion, phase transition theory) and geometry (minimal surfaces). Stable Solutions of Elliptic Partial Differential Equations offers a self-contained presentation of the notion of stability in elliptic partial differential equations (PDEs). The central questions of regularity and classification of stable solutions are treated at length. Specialists will find a summary of the most recent developments of the theory, such as nonlocal and higher-order equations. For beginners, the book walks you through the fine versions of the maximum principle, the standard regularity theory for linear elliptic equations, and the fundamental functional inequalities commonly used in this field. The text also includes two additional topics: the inverse-square potential and some background material on submanifolds of Euclidean space.
Detail Book of Stable Solutions of Elliptic Partial Differential Equations PDF
- Author : Louis Dupaigne
- Release : 15 March 2011
- Publisher : CRC Press
- ISBN : 9781420066548
- Genre : Mathematics
- Total Page : 337 pages
- Language : English
- PDF File Size : 15,6 Mb
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