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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회지 대한수학회지 제58권 제5호
- 발행연도
- 2021.9
- 수록면
- 1,279 - 1,298 (20page)
- DOI
- 10.4134/JKMS.j200572
이용수
초록· 키워드
오류제보하기
The aim of this paper is to prove the existence of the global attractor of the Cauchy problem for a semilinear degenerate hyperbolic equation involving strongly degenerate elliptic differential operators. The attractor is characterized as the unstable manifold of the set of stationary points, due to the existence of a Lyapunov functional.
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참고문헌 (22)
참고문헌 신청
Cung The Anh / 2014 / Global attractor for a semilinear strongly degenerate parabolic equation on RN / Nonlinear Differential Equations and Applications NoDEA 21(5):663~678
A. V. Babin / 1983 / Regular attractors of semigroups and evolution equations / J. Math. Pures Appl 62(4):441~491
A. V. Babin / 1990 / Attractors of partial differential evolution equations in an unbounded domain / Proceedings of the Royal Society of Edinburgh: Section A Mathematics 116(3-4):221~243
I. Chueshov / 2008 / Long-time behavior of second order evolution equations with nonlinear damping / Mem. Amer. Math. Soc 195(912):viii~183
Eduard Feireisl / 1994 / Attractors for semilinear damped wave equations on 3 / Nonlinear Analysis: Theory, Methods & Applications 23(2):187~195
A. V. Babin / 1983 / Regular attractors of semigroups and evolution equations / J. Math. Pures Appl 62(4):441~491
A. V. Babin / 1990 / Attractors of partial differential evolution equations in an unbounded domain / Proceedings of the Royal Society of Edinburgh: Section A Mathematics 116(3-4):221~243
I. Chueshov / 2008 / Long-time behavior of second order evolution equations with nonlinear damping / Mem. Amer. Math. Soc 195(912):viii~183
Eduard Feireisl / 1994 / Attractors for semilinear damped wave equations on 3 / Nonlinear Analysis: Theory, Methods & Applications 23(2):187~195
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