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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.12
- 수록면
- 859 - 888 (30page)
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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 con structing 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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참고문헌 (24)
참고문헌 신청
M. M. Cavalcanti / 2001 / Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation / Adv. Differential Equations 6(6):701~730
M. M. Cavalcanti / 2004 / Global existence and asymptotic stability for the nonlinear and generalized damped extensible plate equation / Commun. Contemp. Math 6(5):705~731
G. F. Carrier / 1945 / On the nonlinear vibrations problem of elastic string / Quart. J. Appl. Math 3:157~165
Y. Ebihara / 1986 / Local solutions for a nonlinear degenerate hyperbolic equation / Nonlinear Anal 10:27~40
M. Hosoya / 1991 / On some nonlinear wave equation I: Local existence and regularity of solutions / J. Fac. Sci. Univ. Tokyo. Sect. IA, Math 38:225~238
M. M. Cavalcanti / 2004 / Global existence and asymptotic stability for the nonlinear and generalized damped extensible plate equation / Commun. Contemp. Math 6(5):705~731
G. F. Carrier / 1945 / On the nonlinear vibrations problem of elastic string / Quart. J. Appl. Math 3:157~165
Y. Ebihara / 1986 / Local solutions for a nonlinear degenerate hyperbolic equation / Nonlinear Anal 10:27~40
M. Hosoya / 1991 / On some nonlinear wave equation I: Local existence and regularity of solutions / J. Fac. Sci. Univ. Tokyo. Sect. IA, Math 38:225~238
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