Author:
Korpusov M. O.,Panin A. A.,Shishkov A. E.
Abstract
Abstract
We consider the Cauchy problem for a model partial differential equation of order three with a non-linearity of the form
. We prove that when
the Cauchy problem in
has no local-in-time weak solution for a large class of initial functions, while when
3/2$?>
there is a local weak solution.
Funder
Russian Science Foundation
Ministry of Education and Science of the Russian Federation
Cited by
9 articles.
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