The Decay Rates of Traveling Waves and Spectral Analysis for a Class of Non local Evolution Equations

Zhao G.; Ruan S.

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The Decay Rates of Traveling Waves and Spectral Analysis for a Class of Non local Evolution Equations

机译：一类非局部发展方程的行波衰减率和频谱分析

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摘要

We obtain the precise decay rates of traveling waves for a class of nonlocal evolution equations arising in the theory of phase transitions and mathematical biology. We also investigate the spectrum of the operator obtained by linearizing at such a traveling wave. The detailed description of the spectrum is established.

机译：对于相变理论和数学生物学中出现的一类非局部演化方程，我们获得了行波的精确衰减率。我们还研究了在这种行波处线性化获得的算子的频谱。建立了频谱的详细描述。

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《Mathematical modelling of natural phenomena》 |2015年第6期|共21页
作者
Zhao G.; Ruan S.;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
nonlocal evolution equation; traveling wave; exponential decay rate; spectral analysis;

机译：非局部演化方程;行波;指数衰减率;光谱分析;

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1. The Decay Rates of Traveling Waves and Spectral Analysis for a Class of Non local Evolution Equations [J] . Zhao G., Ruan S. Mathematical modelling of natural phenomena . 2015,第6期

机译：一类非局部发展方程的行波衰减率和频谱分析
2. The evolution of reaction-diffusion waves in a class of scalar reaction-diffusion equations: algebraic decay rates [J] . Leach JA., Needham DJ., Kay AL. Physica, D. Nonlinear phenomena . 2002,第3a4期

机译：一类标量反应扩散方程中反应扩散波的演化：代数衰减率
3. Spectral analysis and multidimensional stability of traveling waves for nonlocal Allen-Cahn equation [J] . Bates PW., Chen FX. Journal of Mathematical Analysis and Applications . 2002,第1期

机译：非局域Allen-Cahn方程行波的频谱分析和多维稳定性
4. Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations [C] . Xinfu Chen US-Chinese Conference on Differential Equations and Applications held in Hangzhou, June 24-29, 1996 . 1996

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5. Self-Similar Solutions and Local Wavefront Analysis of a Degenerate Schr?dinger Equation Arising from Nonlinear Acoustics [D] . Smothers, Evan B. 2017

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6. Estimates for a class of oscillatory integrals and decay rates for wave-type equations [O] . Anton Arnold, JinMyong Kim, Xiaohua Yao -1

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7. Two classes of nonlocal Evolution Equations related by a shared Traveling Wave Problem [O] . Achleitner, Franz 2017

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8. On Some Spectral Problems and Isospectral Evolutions Connected with the Classical String Problem. Part 2: Evolution Equation [R] . Sabatier, P. C. 1979

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The Decay Rates of Traveling Waves and Spectral Analysis for a Class of Non local Evolution Equations

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