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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.21 No.2
- 발행연도
- 2017.6
- 수록면
- 81 - 87 (7page)
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초록· 키워드
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In this note, we show that the cone property is satisfied for a class of dissipative equations of the form u<SUB>t</SUB> = Δu + f(x, u,Δu) in a domain Ω
⊂ R² under the so called exactness condition for the nonlinear term. From this, we see that the global attractor is represented as a Lipshitz graph over a finite dimensional eigenspace.
목차
ABSTRACT
1. INTRODUCTION
2. NOTATION AND THE MAIN RESULT
REFERENCES
참고문헌 (5)
참고문헌 신청
[학술지(정기간행물)] - Zhong Bo Fang / 2005 / Negatively bounded solutions for a parabolic partial differential equation / 대한수학회보 42 (4) : 829 ~ 836
[학술지(정기간행물)] - C. Foias / 1988 / Inertial manifolds for nonlinear evolutionary equations / Journal of Differential Equations 73 : 309 ~ 353
[학술지(정기간행물)] - I. Kukavica / 2003 / Fourier parameterization of attractors for dissipative equations in one space dimension / Journal of Dynamics and Differential Equations 15 : 473 ~ 484
[단행본] - R. Temam / 1988 / Infinite-dimensional dynamical systems in mechanics and physics / Springer-Verlag
[학술지(정기간행물)] - S. Zelik / 2014 / Inertial manifolds and finite-dimensional reduction for dissipative PDEs / Proceedings of the Royal Society of Edinburgh: Section A Mathematics 144 : 1245 ~ 1327
[학술지(정기간행물)] - C. Foias / 1988 / Inertial manifolds for nonlinear evolutionary equations / Journal of Differential Equations 73 : 309 ~ 353
[학술지(정기간행물)] - I. Kukavica / 2003 / Fourier parameterization of attractors for dissipative equations in one space dimension / Journal of Dynamics and Differential Equations 15 : 473 ~ 484
[단행본] - R. Temam / 1988 / Infinite-dimensional dynamical systems in mechanics and physics / Springer-Verlag
[학술지(정기간행물)] - S. Zelik / 2014 / Inertial manifolds and finite-dimensional reduction for dissipative PDEs / Proceedings of the Royal Society of Edinburgh: Section A Mathematics 144 : 1245 ~ 1327
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UCI(KEPA) : I410-ECN-0101-2018-410-000912986