Excluding blowup at zero points of the potential by means of Liouville-type theorems

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Title:	Excluding blowup at zero points of the potential by means of Liouville-type theorems
Authors:	Jong-Shenq Guo;Philippe Souplet
Keywords:	Blowup;Potential;Liouville-type theorem
Date:	2018-11-15
Issue Date:	2019-03-09 12:10:31 (UTC+8)
Publisher:	Elsevier
Abstract:	We prove a local version of a (global) result of Merle and Zaag about ODE behavior of solutions near blowup points for subcritical nonlinear heat equations. As an application, for the equation , we rule out the possibility of blowup at zero points of the potential V for monotone in time solutions when for large u, both in the Sobolev subcritical case and in the radial case. This solves a problem left open in previous work on the subject. Suitable Liouville-type theorems play a crucial role in the proofs.
Relation:	Journal of Differential Equations 265(10), p.4942-4964
DOI:	10.1016/j.jde.2018.06.025
Appears in Collections:	[Department of Applied Mathematics and Data Science] Journal Article

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