대한수학회지 (Journal of the Korean Mathematical Society)

  • 제59권1호
  • /
  • Pages.205-216
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  • 2022
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
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GLOBAL NONEXISTENCE FOR THE WAVE EQUATION WITH BOUNDARY VARIABLE EXPONENT NONLINEARITIES

  • Ha, Tae Gab (Department of Mathematics and Institute of Pure and Applied Mathematics Jeonbuk National University) ;
  • Park, Sun-Hye (Office for Education Accreditation Pusan National University)
  • 투고 : 2021.05.30
  • 심사 : 2021.09.27
  • 발행 : 2022.01.01
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초록

This paper deals with a nonlinear wave equation with boundary damping and source terms of variable exponent nonlinearities. This work is devoted to prove a global nonexistence of solutions for a nonlinear wave equation with nonnegative initial energy as well as negative initial energy.

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과제정보

T. G. Ha was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2019R1I1A3A01051714). S.-H. Park was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2020R1I1A3066250).

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