It takes the average reader 4 hours and 22 minutes to read Semi-classical Analysis for Nonlinear Schrdinger Equations by Rmi Carles
Assuming a reading speed of 250 words per minute. Learn more
These lecture notes review recent results on the high-frequency analysis of nonlinear Schrdinger equations in the presence of an external potential. The book consists of two relatively independent parts: WKB analysis, and caustic crossing. In the first part, the basic linear WKB theory is constructed and then extended to the nonlinear framework. The most difficult supercritical case is discussed in detail, together with some of its consequences concerning instability phenomena. Applications of WKB analysis to functional analysis, in particular to the Cauchy problem for nonlinear Schrdinger equations, are also given. In the second part, caustic crossing is described, especially when the caustic is reduced to a point, and the link with nonlinear scattering operators is investigated.These notes are self-contained and combine selected articles written by the author over the past ten years in a coherent manner, with some simplified proofs. Examples and figures are provided to support the intuition, and comparisons with other equations such as the nonlinear wave equation are provided.
Semi-classical Analysis for Nonlinear Schrdinger Equations by Rmi Carles is 256 pages long, and a total of 65,536 words.
This makes it 86% the length of the average book. It also has 80% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 5 hours and 58 minutes to read Semi-classical Analysis for Nonlinear Schrdinger Equations aloud.
Semi-classical Analysis for Nonlinear Schrdinger Equations is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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