Nonexistence results for the cauchy problem for nonlinear ultraparabolic equations

Sebti Kerbal; Mokhtar Kirane

doi:10.1155/2011/149091

Nonexistence results for the cauchy problem for nonlinear ultraparabolic equations

Sebti Kerbal^*, Mokhtar Kirane

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

Nonexistence of global solutions to ultraparabolic equations and systems is presented. Our results fill a gap in the literature on ultraparabolic equations. The method of proof we use relies on a choice of a suitable test function in the weak formulation of the solutions of the problems under-study.

Original language	English
Article number	149091
Journal	Abstract and Applied Analysis
Volume	2011
DOIs	https://doi.org/10.1155/2011/149091
Publication status	Published - 2011

ASJC Scopus subject areas

Analysis
Applied Mathematics

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title = "Nonexistence results for the cauchy problem for nonlinear ultraparabolic equations",

abstract = "Nonexistence of global solutions to ultraparabolic equations and systems is presented. Our results fill a gap in the literature on ultraparabolic equations. The method of proof we use relies on a choice of a suitable test function in the weak formulation of the solutions of the problems under-study.",

author = "Sebti Kerbal and Mokhtar Kirane",

note = "Funding Information: This study was supported by PHS grants DE-05937, DE-08603, DE-00249, AR-08662 and NSF grant EEC-9209612.",

year = "2011",

doi = "10.1155/2011/149091",

language = "English",

volume = "2011",

journal = "Abstract and Applied Analysis",

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T1 - Nonexistence results for the cauchy problem for nonlinear ultraparabolic equations

AU - Kerbal, Sebti

AU - Kirane, Mokhtar

N1 - Funding Information: This study was supported by PHS grants DE-05937, DE-08603, DE-00249, AR-08662 and NSF grant EEC-9209612.

PY - 2011

Y1 - 2011

N2 - Nonexistence of global solutions to ultraparabolic equations and systems is presented. Our results fill a gap in the literature on ultraparabolic equations. The method of proof we use relies on a choice of a suitable test function in the weak formulation of the solutions of the problems under-study.

AB - Nonexistence of global solutions to ultraparabolic equations and systems is presented. Our results fill a gap in the literature on ultraparabolic equations. The method of proof we use relies on a choice of a suitable test function in the weak formulation of the solutions of the problems under-study.

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DO - 10.1155/2011/149091

M3 - Article

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VL - 2011

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ER -

Nonexistence results for the cauchy problem for nonlinear ultraparabolic equations

Abstract

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