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非线性Schrodinger方程的全局解(影印版)

非线性Schrodinger方程的全局解(影印版)

作者:J. Bourgain

出版社:高等教育出版社

出版时间:2025-02-01

ISBN:9787040631005

定价:¥99.00

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内容简介
  本书介绍了非线性色散方程理论的最新进展,主要是非线性薛定谔方程。本书适合对偏微分方程及其相关领域感兴趣的研究生和数学研究人员阅读参考。This volume presents recent progress in the theory of nonlinear dispersive equations, primarily the nonlinear Schr?dinger (NLS) equation. The Cauchy problem for defocusing NLS with critical nonlinearity is discussed. New techniques and results are described on global existence and properties of solutions with large Cauchy data. Current research in harmonic analysis around Strichartz's inequalities and its relevance to nonlinear PDE is presented. Several topics in NLS theory on bounded domains are reviewed. Using the NLS as an example, the book offers comprehensive insight on current research related to dispersive equations and Hamiltonian PDEs.
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