CONVERGENCE RATES TO ASYMPTOTIC PROFILE FOR SOLUTIONS OF QUASILINEAR HYPERBOLIC EQUATIONS WITH LINEAR DAMPING
文献类型：期刊论文
| 作者 | Geng, Shifeng |
| 刊名 | JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2011-03-01 |
| 卷号 | 8期号:1页码:115-129 |
| 关键词 | Asymptotic behavior quasilinear hyperbolic equations damping |
| 产权排序 | 第一 |
| 英文摘要 | This paper is concerned with the asymptotic behavior of the solution of quasilinear hyperbolic equations with linear damping. The main novelty lies in the following observation: If we suitably choose the initial data of the corresponding parabolic equation, then the solution Psi = Psi(x, t) of the parabolic equation served as the new asymptotic profile satisfies parallel to(V - Psi, (V - Psi)(x), (V - Psi)(t))(t)parallel to(L)infinity = O(1)(t(-2), t(-5/2), t(-3)). The convergence rates of the new profile. are better than that obtained by H.-J. Zhao (2000, J. Differential Equations 167, 467-494), and we need none of the additional technical assumptions (H-1) and (H-2) therein. Therefore, we answer an open problem posed by Nishihara (1997, J. Differential Equations 133, 384-395). |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | 数学 |
| 类目[WOS] | Mathematics, Applied ; Physics, Mathematical |
| 研究领域[WOS] | Mathematics ; Physics |
| 关键词[WOS] | NONLINEAR DIFFUSION WAVES ; P-SYSTEM ; CONSERVATION-LAWS ; RELAXATION ; BEHAVIOR |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000290231200006 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1864]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Geng, Shifeng. CONVERGENCE RATES TO ASYMPTOTIC PROFILE FOR SOLUTIONS OF QUASILINEAR HYPERBOLIC EQUATIONS WITH LINEAR DAMPING[J]. JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS,2011,8(1):115-129. |
| APA | Geng, Shifeng.(2011).CONVERGENCE RATES TO ASYMPTOTIC PROFILE FOR SOLUTIONS OF QUASILINEAR HYPERBOLIC EQUATIONS WITH LINEAR DAMPING.JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS,8(1),115-129. |
| MLA | Geng, Shifeng."CONVERGENCE RATES TO ASYMPTOTIC PROFILE FOR SOLUTIONS OF QUASILINEAR HYPERBOLIC EQUATIONS WITH LINEAR DAMPING".JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS 8.1(2011):115-129. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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