Open AccessNonexistence Results for the Cauchy Problem for Nonlinear Ultraparabolic Equations
Author(s) -
Sebti Kerbal,
Mokhtar Kirane
Publication year - 2011
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2011/149091
Subject(s) - mathematics , nonlinear system , cauchy problem , cauchy distribution , initial value problem , mathematical analysis , physics , quantum mechanics
Nonexistence of global solutions to ultraparabolic equations and systems is presented.Our results fill a gap in the literature on ultraparabolic equations. Themethod of proof we use relies on a choice of a suitable test function in the weakformulation of the solutions of the problems under-study
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