• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
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  • Indexed by Core Journals of China, Chinese S&T Journal Citation Reports
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Volume 17 Issue 4
Aug.  2004
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Article Contents
ZHAZhong-wei. Initial Value Problem of Quasi-linear Hyperbolic Equations[J]. Journal of Southwest Jiaotong University, 2004, 17(4): 540-543.
Citation: ZHAZhong-wei. Initial Value Problem of Quasi-linear Hyperbolic Equations[J]. Journal of Southwest Jiaotong University, 2004, 17(4): 540-543.

Initial Value Problem of Quasi-linear Hyperbolic Equations

  • Publish Date: 25 Aug 2004
  • Based on theory of hyperbolic linear partial differential operator, the initial value problem of a kind of quasi-linear hyperbolic equations with non-zero initial values was introduced and studied. The Hilbert space and an important inequalitywere obtained using interior product of the Fourier transform on a quickly decaying functional space. The existence theorem of the solutions for the initial value problemwas proved using Schauder fixed-point theorem under some assumed conditions of known function.

     

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      沈阳化工大学材料科学与工程学院 沈阳 110142

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