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Global Carleman estimates for linear stochastic Kawahara equation and their applications

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Abstract

In this study, we first establish an identity for a stochastic fifth-order Kawahara operator, and then, applying this identity, we obtain two global Carleman estimates for linear stochastic Kawahara equation. Based on these estimates, we obtain two types of unique continuation property for linear stochastic Kawahara equation.

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Acknowledgments

I am grateful to the anonymous referees for their careful reading of the manuscript and numerous suggestions for its improvement. I sincerely thank Professor Yong Li for many useful suggestions and help.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun, 130024, People’s Republic of China

    Peng Gao

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  1. Peng Gao
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Correspondence to Peng Gao.

Additional information

This work was partially supported by the Fundamental Research Funds for the Central Universities.

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Gao, P. Global Carleman estimates for linear stochastic Kawahara equation and their applications. Math. Control Signals Syst. 28, 21 (2016). https://doi.org/10.1007/s00498-016-0173-6

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  • DOI: https://doi.org/10.1007/s00498-016-0173-6

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