Title of article
Non-uniform dependence on initial data for the periodic Degasperis–Procesi equation
Author/Authors
Fu، نويسنده , , Yanggeng and Liu، نويسنده , , Zhengrong، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2011
Pages
10
From page
293
To page
302
Abstract
In this paper, we show that the solution map of the periodic Degasperis–Procesi equation is not uniformly continuous in Sobolev spaces H s ( T ) for s > 3 / 2 . This extends previous result for s ⩾ 2 to the whole range of s for which the local well-posedness is known. Our proof is based on the method of approximate solutions and well-posedness estimates for the actual solutions.
Keywords
Periodic Cauchy problem , Non-uniform dependence , sobolev spaces , Approximate solutions , Degasperis–Procesi equation
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2011
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562164
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