Kyungpook Mathematical Journal

  • 제61권4호
  • /
  • Pages.859-888
  • /
  • 2021
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Existence, Blow-up and Exponential Decay Estimates for the Nonlinear Kirchhoff-Carrier Wave Equation in an Annular with Robin-Dirichlet Conditions

  • Ngoc, Le Thi Phuong (University of Khanh Hoa) ;
  • Son, Le Huu Ky (University of Science, Ho Chi Minh City, Vietnam National University, Faculty of Applied Sciences, Ho Chi Minh City University of Food Industry) ;
  • Long, Nguyen Than (Department of Mathematics and Computer Science, University of Science, Ho Chi Minh City)
  • 투고 : 2019.07.17
  • 심사 : 2020.03.31
  • 발행 : 2021.12.31
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초록

This paper is devoted to the study of a nonlinear Kirchhoff-Carrier wave equation in an annulus associated with Robin-Dirichlet conditions. At first, by applying the Faedo-Galerkin method, we prove existence and uniqueness results. Then, by constructing a Lyapunov functional, we prove a blow up result for solutions with a negative initial energy and establish a sufficient condition to obtain the exponential decay of weak solutions.

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과제정보

The authors wish to express their sincere thanks to the referees and the Editor for their valuable comments.

참고문헌

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