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On the Convergence of Fourier's Method for Nonlinear Wave‐Envelope Equations

 

作者: Herbert Gajewski,   Klaus Zacharias,  

 

期刊: ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik  （WILEY Available online 1979）
卷期: Volume 59, issue 1  

页码: 37-41

 

ISSN:0044-2267

 

年代: 1979

 

DOI:10.1002/zamm.19790590105

 

出版商: WILEY‐VCH Verlag

 

数据来源: WILEY

 

摘要:

AbstractWe consider the initial value problem for a system of nonlinear wave‐envelope equations (Zakharov's system) of one‐dimensional plasma physics in the case of spatially periodic boundary conditions. A regularity property of the solution is shown which allows to prove the convergence of the Fourier approximation met

 

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