NON-UNIFORM DEPENDENCE ON INITIAL DATAFOR THE CH EQUATION ON THE LINE

A. ALEXANDROU HIMONAS; CARLOS KENIG

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NON-UNIFORM DEPENDENCE ON INITIAL DATAFOR THE CH EQUATION ON THE LINE

机译：在线CH方程初始数据的非均匀依赖

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摘要

For s > 1 two sequences of CH solutions living in a boundedsubset of the Sobolev space H~s (R) are constructed, whose distance atthe initial time is converging to zero while at any later time it is boundedbelow by a positive constant. This implies that the solution map of theCH equation is not uniformly continuous in H~s(R).

机译：对于s> 1，构造了两个居住在Sobolev空间H〜s（R）的有界子集中的CH解的序列，其在初始时间的距离收敛为零，而在以后的任何时间，其距离都被一个正常数所限制。这意味着CH方程的解图在H〜s（R）中不是一致连续的。

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《Differential and integral equations》 |2009年第4期|共24页
作者
A. ALEXANDROU HIMONAS; CARLOS KENIG;
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正文语种 eng
中图分类微分方程、积分方程;
关键词
DEPENDENCE; EQUATION; zero;

机译：依赖;方程;零;

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1. NON-UNIFORM DEPENDENCE ON INITIAL DATAFOR THE CH EQUATION ON THE LINE [J] . A. ALEXANDROU HIMONAS, CARLOS KENIG Differential and integral equations . 2009,第3a4期

机译：在线CH方程初始数据的非均匀依赖
2. NON-UNIFORM DEPENDENCE ON INITIAL DATA FOR EQUATIONS OF WHITHAM TYPE [J] . Arnesen Mathias Nikolai Advances in differential equations . 2019,第5a6期

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3. The local well-posedness in Besov spaces and non-uniform dependence on initial data for the interacting system of Camassa-Holm and Degasperis-Procesi equations [J] . Zhou Shouming Monatshefte fur Mathematik . 2018,第4期

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4. Monotone Iterative Technique with Respect to Initial Time Difference for Initial Value Problem for Difference Equations With Maxima [C] . Snezhana Hristova, Radoslava Terzieva International Conference "Applications of Mathematics in Engineering and Economics" . 2015

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5. On Hölder solutions to initial boundary value problems for second-order parabolic stochastic partial differential equations [D] . Sonnadara, Nilupa 2006

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6. FITTING NONLINEAR ORDINARY DIFFERENTIAL EQUATION MODELS WITH RANDOM EFFECTS AND UNKNOWN INITIAL CONDITIONS USING THE STOCHASTIC APPROXIMATION EXPECTATION–MAXIMIZATION (SAEM) ALGORITHM [O] . Sy- Miin Chow, Zhaohua Lu, Hongtu Zhu, -1

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7. Non-uniform dependence on initial data for the CH equation on the line [O] . Himonas, A. Alexandrou, Kenig, Carlos 2010

机译：对线上CH方程的初始数据的非均匀依赖性

NON-UNIFORM DEPENDENCE ON INITIAL DATAFOR THE CH EQUATION ON THE LINE

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