On the ill-posedness of the Gardner equation.
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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On the ill-posedness of the Gardner equation. / Alejo Plana, Miguel Angel.
I: Journal of Mathematical Analysis and Applications, Bind 396, Nr. 1, 2012, s. 256-260.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - On the ill-posedness of the Gardner equation.
AU - Alejo Plana, Miguel Angel
PY - 2012
Y1 - 2012
N2 - We present ill-posedness results for the initial value problem (IVP) for the Gardner equation. We measure the regularity of the Cauchy problem in the classical Sobolev spaces Hs, and show the critical Sobolev index under which the local well-posedness of the problem is not present, in the sense that the dependence of solutions upon initial data fails to be continuous.
AB - We present ill-posedness results for the initial value problem (IVP) for the Gardner equation. We measure the regularity of the Cauchy problem in the classical Sobolev spaces Hs, and show the critical Sobolev index under which the local well-posedness of the problem is not present, in the sense that the dependence of solutions upon initial data fails to be continuous.
U2 - 10.1016/j.jmaa.2012.06.018
DO - 10.1016/j.jmaa.2012.06.018
M3 - Journal article
VL - 396
SP - 256
EP - 260
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
SN - 0022-247X
IS - 1
ER -
ID: 49603615