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Global solution of the inverse problem for a class of nonlinear evolution equations of dispersive type

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Abstract

The inverse problem for a class of nonlinear evolution equations of dispersive type was reduced to Cauchy problem of nonlinear evolution equation in an abstract space. By means of the semigroup method and equipping equivalent norm technique, the existence and uniqueness theorem of global solution was obtained for this class of abstract evolution equations, and was applied to the inverse problem discussed here. The existence and uniqueness theorem of global solution was given for this class of nonlinear evolution equations of dispersive type. The results extend and generalize essentially the related results of the existence and uniqueness of local solution presented by YUAN Zhong-xin.

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References

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Authors and Affiliations

  1. Department of Mathematics, Tianjin University, 300072, Tianjin, P R China

    Chen Fang-qi Doctor

  2. Department of Mechanics, Tianjin University, 300072, Tianjin, P R China

    Chen Yu-shu & Wu Zhi-qiang

  3. Liuhui Center for Applied Mathematics, Nankai University & Tianjin University, 300072, Tianjin, P R China

    Chen Fang-qi Doctor

Authors
  1. Chen Fang-qi Doctor
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  2. Chen Yu-shu
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  3. Wu Zhi-qiang
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Contributed by Chen Yu-shu

Foundation item: the National Natural Science Foundation of China (Significance 199990510); the National Key Basic Research Special Foundation of China (G1998020316); Liuhui Center for Applied Mathematics, Nankai University & Tianjin University

Biography: Chen Fang-qi (1963-)

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Fang-qi, C., Yu-shu, C. & Zhi-qiang, W. Global solution of the inverse problem for a class of nonlinear evolution equations of dispersive type. Appl Math Mech 23, 150–154 (2002). https://doi.org/10.1007/BF02436556

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  • DOI: https://doi.org/10.1007/BF02436556

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