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Solutions of Nonlinear Schr dinger Systems (Hardcover) Loot Price: R1,977
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Solutions of Nonlinear Schr dinger Systems (Hardcover): Zhijie Chen

Solutions of Nonlinear Schr dinger Systems (Hardcover)

Zhijie Chen

Series: Springer Theses

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List price R2,430 Loot Price R1,977 Discovery Miles 19 770 | Repayment Terms: R184 pm x 12* You Save R453 (19%)

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The existence and qualitative properties of nontrivial solutions for some important nonlinear Schr dinger systems have been studied in this thesis. For a well-known system arising from nonlinear optics and Bose-Einstein condensates (BEC), in the subcritical case, qualitative properties of ground state solutions, including an optimal parameter range for the existence, the uniqueness and asymptotic behaviors, have been investigated and the results could firstly partially answer open questions raised by Ambrosetti, Colorado and Sirakov. In the critical case, a systematical research on ground state solutions, including the existence, the nonexistence, the uniqueness and the phase separation phenomena of the limit profile has been presented, which seems to be the first contribution for BEC in the critical case. Furthermore, some quite different phenomena were also studied in a more general critical system. For the classical Brezis-Nirenberg critical exponent problem, the sharp energy estimate of least energy solutions in a ball has been investigated in this study. Finally, for Ambrosetti type linearly coupled Schr dinger equations with critical exponent, an optimal result on the existence and nonexistence of ground state solutions for different coupling constants was also obtained in this thesis. These results have many applications in Physics and PDEs.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Springer Theses
Release date: November 2014
First published: 2015
Authors: Zhijie Chen
Dimensions: 235 x 155 x 13mm (L x W x T)
Format: Hardcover
Pages: 180
ISBN-13: 978-3-662-45477-0
Categories: Books > Science & Mathematics > Mathematics
Books > Science & Mathematics > Physics
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis
Books > Science & Mathematics > Mathematics > Applied mathematics
Books > Science & Mathematics > Physics > General
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
LSN: 3-662-45477-7
Barcode: 9783662454770

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