Ill-posedness of nonlinear parabolic equation with critical initial condition

We study the initial boundary value problem of strongly nonlinear parabolic equation:∂u∂t=∑i=1N∂∂xi∂u∂xip−2∂u∂xi+u1+αwith critical initial data. By introducing a family of potential wells the global nonexistence of solution is proved, which solves the open problem existing in some classical literature.

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Year of publication:	2012
Authors:	Runzhang, Xu ; Yacheng, Liu
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 82.2012, 7, p. 1363-1374
Publisher:	Elsevier
Subject:	Nonlinear parabolic equation \| Critical initial data \| Potential wells \| Global nonexistence

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011051232