Derivatives on function spaces generated by the dlrichlet laplacian and the neumann laplacian in one dimension

Tsukasa Iwabuchi

Derivatives on function spaces generated by the dlrichlet laplacian and the neumann laplacian in one dimension

Tsukasa Iwabuchi

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We investigate the relation between Besov spaces generated by the Dirichlet Laplacian and the Neumann Laplacian in one space dimension from the view point of the boundary value of functions. Derivatives on spaces with such boundary conditions are defined, and it is proved that the derivative operator is isomorphic from one to the other.

Original language	English
Pages (from-to)	1-8
Number of pages	8
Journal	Communications in Mathematical Analysis
Volume	21
Issue number	1
Publication status	Published - 2018

Keywords

Besov spaces
Derivatives
Dirichlet Laplacian
Distributions
Neumann Laplacian

Cite this

@article{ca16ecd5394a4f54bccc7e619020827a,

title = "Derivatives on function spaces generated by the dlrichlet laplacian and the neumann laplacian in one dimension",

abstract = "We investigate the relation between Besov spaces generated by the Dirichlet Laplacian and the Neumann Laplacian in one space dimension from the view point of the boundary value of functions. Derivatives on spaces with such boundary conditions are defined, and it is proved that the derivative operator is isomorphic from one to the other.",

keywords = "Besov spaces, Derivatives, Dirichlet Laplacian, Distributions, Neumann Laplacian",

author = "Tsukasa Iwabuchi",

note = "Funding Information: The author was supported by the Grant-in-Aid for Young Scientists (A) (No. 17H04824) from JSPS and by Advancing Strategic International Networks to Accelerate the Circulation of Talented Researchers from JSPS. Publisher Copyright: {\textcopyright} 2018 Mathematical Research Publishers. All rights reserved.",

year = "2018",

language = "English",

volume = "21",

pages = "1--8",

journal = "Communications in Mathematical Analysis",

issn = "1938-9787",

publisher = "Mathematical Research Publishers",

number = "1",

}

TY - JOUR

T1 - Derivatives on function spaces generated by the dlrichlet laplacian and the neumann laplacian in one dimension

AU - Iwabuchi, Tsukasa

N1 - Funding Information: The author was supported by the Grant-in-Aid for Young Scientists (A) (No. 17H04824) from JSPS and by Advancing Strategic International Networks to Accelerate the Circulation of Talented Researchers from JSPS. Publisher Copyright: © 2018 Mathematical Research Publishers. All rights reserved.

PY - 2018

Y1 - 2018

N2 - We investigate the relation between Besov spaces generated by the Dirichlet Laplacian and the Neumann Laplacian in one space dimension from the view point of the boundary value of functions. Derivatives on spaces with such boundary conditions are defined, and it is proved that the derivative operator is isomorphic from one to the other.

AB - We investigate the relation between Besov spaces generated by the Dirichlet Laplacian and the Neumann Laplacian in one space dimension from the view point of the boundary value of functions. Derivatives on spaces with such boundary conditions are defined, and it is proved that the derivative operator is isomorphic from one to the other.

KW - Besov spaces

KW - Derivatives

KW - Dirichlet Laplacian

KW - Distributions

KW - Neumann Laplacian

UR - http://www.scopus.com/inward/record.url?scp=85045960102&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85045960102&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85045960102

SN - 1938-9787

VL - 21

SP - 1

EP - 8

JO - Communications in Mathematical Analysis

JF - Communications in Mathematical Analysis

IS - 1

ER -

Derivatives on function spaces generated by the dlrichlet laplacian and the neumann laplacian in one dimension

Abstract

Keywords

Other files and links

Fingerprint

Cite this