Home | Amazing | Today | Tags | Publishers | Years | Account | Search 
Semi-Classical Analysis For Nonlinear Schrodinger Equations

Buy
These lecture notes review recent results on the high-frequency analysis of nonlinear SchrГѓВ¶dinger 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 SchrГѓВ¶dinger 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.

Contents: WKB Analysis: Preliminary Analysis; Weak Nonlinear Geometric Optics; Convergence of Quadratic Observables via Modulated Energy Functionals; Pointwise Description of the Wave Function; Some Instability Phenomena; Caustic Crossing: The Case of Focal Points: Caustic Crossing: Formal Analysis; Focal Point without External Potential; Focal Point in the Presence of an External Potential; Some Ideas for Supercritical Cases.

(HTML tags aren't allowed.)

HVAC Water Chillers and Cooling Towers: Fundamentals, Application, and Operation (Mechanical Engineering)
HVAC Water Chillers and Cooling Towers: Fundamentals, Application, and Operation (Mechanical Engineering)
HVAC Water Chillers and Cooling Towers provides fundamental principles and practical techniques for the design, application, purchase, operation, and maintenance of water chillers and cooling towers. Written by a leading expert in the field, the book analyzes topics such as piping, water treatment, noise control, electrical service, and energy...
Prototyping with Visual Basic
Prototyping with Visual Basic
This book shows readers how to use Visual Basic to gain the benefits of prototyping: reduced cost, reduced time and more importantly, reduced risk while building complex applications.

The techniques and examples described will give the reader new tools for building applications.

About the Author
...

Gastric Bypass Surgery: Everything You Need to Know to Make an Informed Decision
Gastric Bypass Surgery: Everything You Need to Know to Make an Informed Decision

Some 22 million Americans are morbidly obese. For many of them, gastric bypass surgery appears to offer the only hope of long-term weight loss. Once viewed as a radical weight-loss alternative, the surgery is becoming increasingly popular. In 2002, more than 100,000 Americans elected to have the procedure done.

Written by a medical...


Problems and Solutions in Biological Sequence Analysis
Problems and Solutions in Biological Sequence Analysis
Bioinformatics, an integral part of post-genomic biology, creates principles and ideas for computational analysis of biological sequences. These ideas facilitate the conversion of the flood of sequence data unleashed by the recent information explosion in biology into a continuous stream of discoveries. Not surprisingly, the new biology of the...
iPhone and iPad in Action
iPhone and iPad in Action

iPhone and iPad In Action, compiled by mobile software developer and blogger Brandon Trebitowski, simplifies existing iPhone topics while also updating them to account for the 3.4 SDK framework including iPad coverage. Beyond covering the basics of iPhone development, this edition also explores exciting topics such as the...

Passive Components for Circuit Design
Passive Components for Circuit Design

Despite the very considerable increase in the use of ICs over the past ten years, passive components are still the mainstay of the electronics industry. The strong emphasis that is given to semiconductors, and ICs in particular, in teaching courses at all levels, however, causes the subject of passive components to be neglected, and many...

©2021 LearnIT (support@pdfchm.net) - Privacy Policy