On the ill-posedness of the Gardner equation.

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Standard

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

Harvard

Alejo Plana, MA 2012, 'On the ill-posedness of the Gardner equation.', Journal of Mathematical Analysis and Applications, bind 396, nr. 1, s. 256-260. https://doi.org/10.1016/j.jmaa.2012.06.018

APA

Alejo Plana, M. A. (2012). On the ill-posedness of the Gardner equation. Journal of Mathematical Analysis and Applications, 396(1), 256-260. https://doi.org/10.1016/j.jmaa.2012.06.018

Vancouver

Alejo Plana MA. On the ill-posedness of the Gardner equation. Journal of Mathematical Analysis and Applications. 2012;396(1):256-260. https://doi.org/10.1016/j.jmaa.2012.06.018

Author

Alejo Plana, Miguel Angel. / On the ill-posedness of the Gardner equation. I: Journal of Mathematical Analysis and Applications. 2012 ; Bind 396, Nr. 1. s. 256-260.

Bibtex

@article{bc757f404aa14e1fa2753a9e83401da0,
title = "On the ill-posedness of the Gardner equation.",
abstract = "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.",
author = "{Alejo Plana}, {Miguel Angel}",
year = "2012",
doi = "10.1016/j.jmaa.2012.06.018",
language = "English",
volume = "396",
pages = "256--260",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press",
number = "1",

}

RIS

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