Blow-up directions at space infinity for solutions of semilinear heat equations


Hokkaido University \| Library \| HUSCAP	Advanced Search		言語

	Home
	About HUSCAP
	Open Access Policy

	Browse by Author

Browse
	Communities & Collections

	Scholarly Journals
	Theses
	Doctoral Dissertations Listed by Graduate Schools
	Conference Procs.
	Events

	HUSCAP Senior (in Japanese)

	Societies

	Top 50 Papers (last 1 month)
	Downloads (country)

For university staff (in Japanese)
	How to post your papers to HUSCAP (in Japanese)

Open Archives Compliant

You can search our collection also at:
	Google
	Google Scholar
	CiNii
	JAIRO
	OAIster
	NDLTD

Files in This Item:

pre760.pdf

119.19 kB

PDF

Please use this identifier to cite or link to this item:http://doi.org/10.14943/83910

Title:	Blow-up directions at space infinity for solutions of semilinear heat equations
Authors:	Giga, Yoshikazu Browse this author
Authors:	Umeda, Noriaki Browse this author
Issue Date:	2005
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	760
Start Page:	1
End Page:	22
Abstract:	A blowing up solution of the semilinear heat equation $u_t =\Delta u+f(u) $ with $f$ satisfying $\liminf f(u)/u^p >0$ for some $p>1$ is considered when initial data $u_0 $ satisfies $u_0 \le M$, $u_0 \not\equiv M$ and $\lim_{m\to \infty } $ $ \inf_{x\in B_m } u_0 (x) =M$ with sequence of ball $\{ B_m \} $ whose radius diverging to infinity. It is shown that the solution blows up only at space infinity. A notion of blow-up direction is introduced. A characterization for blow-up direction is also established.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69568
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

OAI-PMH ( junii2 , jpcoar )

Feedback - Hokkaido University