A maximal inequality associated to Schr\{o}dinger type equation.


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

	Downloads (country)

For university staff
	How to post your papers to HUSCAP
	Publication of theses
	Helpline about theses publication

Open Archives Compliant

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

Files in This Item:

pre685.pdf

226.82 kB

PDF

Please use this identifier to cite or link to this item:https://doi.org/10.14943/83836

Title:	A maximal inequality associated to Schr\{o}dinger type equation.
Authors:	Cho, Yonggeun Browse this author
	Lee, Sanghyuk Browse this author
	Shim, Yongsun Browse this author
Keywords:	SchrÄodinger type equation
	maximal operator
	angular regularity
Issue Date:	2005
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	685
Start Page:	1
End Page:	10
Abstract:	In this note, we consider a maximal operator supt2R ju(x; t)j = supt2R jeit(D)f(x)j, where u is the solution to the initial value problem ut = i(D)u, u(0) = f for a C2 function with some growth rate at in¯nity. We prove that the operator supt2R ju(x; t)j has a mapping property from a fractional Sobolev space H 1 4 with additional angular regularity to L2 loc.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69490
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_1.0 )

- Hokkaido University