On the Cauchy problem for a class of parabolic equations with variable density

Shoshana Kamin; Robert Kersner; Alberto Tesei

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1998)

  • Volume: 9, Issue: 4, page 279-298
  • ISSN: 1120-6330

Abstract

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The well-posedness of the Cauchy problem for a class of parabolic equations with variable density is investigated. Necessary and sufficient conditions for existence and uniqueness in the class of bounded solutions are proved. If these conditions fail, sufficient conditions are given to ensure well-posedness in the class of bounded solutions which satisfy suitable constraints at infinity.

How to cite

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Kamin, Shoshana, Kersner, Robert, and Tesei, Alberto. "On the Cauchy problem for a class of parabolic equations with variable density." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 9.4 (1998): 279-298. <http://eudml.org/doc/252427>.

@article{Kamin1998,
abstract = {The well-posedness of the Cauchy problem for a class of parabolic equations with variable density is investigated. Necessary and sufficient conditions for existence and uniqueness in the class of bounded solutions are proved. If these conditions fail, sufficient conditions are given to ensure well-posedness in the class of bounded solutions which satisfy suitable constraints at infinity.},
author = {Kamin, Shoshana, Kersner, Robert, Tesei, Alberto},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Cauchy problem; Well-posedness; Conditions at infinity; well-posedness; conditions at infinity},
language = {eng},
month = {12},
number = {4},
pages = {279-298},
publisher = {Accademia Nazionale dei Lincei},
title = {On the Cauchy problem for a class of parabolic equations with variable density},
url = {http://eudml.org/doc/252427},
volume = {9},
year = {1998},
}

TY - JOUR
AU - Kamin, Shoshana
AU - Kersner, Robert
AU - Tesei, Alberto
TI - On the Cauchy problem for a class of parabolic equations with variable density
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1998/12//
PB - Accademia Nazionale dei Lincei
VL - 9
IS - 4
SP - 279
EP - 298
AB - The well-posedness of the Cauchy problem for a class of parabolic equations with variable density is investigated. Necessary and sufficient conditions for existence and uniqueness in the class of bounded solutions are proved. If these conditions fail, sufficient conditions are given to ensure well-posedness in the class of bounded solutions which satisfy suitable constraints at infinity.
LA - eng
KW - Cauchy problem; Well-posedness; Conditions at infinity; well-posedness; conditions at infinity
UR - http://eudml.org/doc/252427
ER -

References

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