Title of article
Non-uniform dependence and well-posedness for the hyperelastic rod equation
Author/Authors
David Karapetyan، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
31
From page
796
To page
826
Abstract
It is shown that the solution map for the hyperelastic rod equation is not uniformly continuous on bounded sets of Sobolev spaces with exponent greater than 3/2 in the periodic case and greater than 1 in the non-periodic case. The proof is based on the method of approximate solutions and well-posedness estimates for the solution and its lifespan
Keywords
Hyperelastic rod equationPeriodicNon-periodicInitial value problemSobolev spacesWell-posednessContinuity of solution mapNon-uniform dependenceApproximate solutionsEnergy estimates
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year
2010
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
751793
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