Exact boundary controllability for heat equation with time dependent coefficients

Yung Jen Lin Guo

doi:10.11650/twjm/1500407235

Exact boundary controllability for heat equation with time dependent coefficients

Yung Jen Lin Guo^*

^*Corresponding author for this work

Department of Mathematics

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

3 Citations (Scopus)

Abstract

We consider the exact boundary controllability for one-dimensional linear heat equation with coefficients depending on the space variable and the time variable. We show that the functions of Gevrey class 2 are reachable when the initial functions are continuous.

Original language	English
Pages (from-to)	307-320
Number of pages	14
Journal	Taiwanese Journal of Mathematics
Volume	4
Issue number	2
DOIs	https://doi.org/10.11650/twjm/1500407235
Publication status	Published - 2000 Jun

Keywords

Exact boundary control

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.11650/twjm/1500407235

Cite this

@article{d0b46671a1a54e3cb5f38e8619277aa5,

title = "Exact boundary controllability for heat equation with time dependent coefficients",

abstract = "We consider the exact boundary controllability for one-dimensional linear heat equation with coefficients depending on the space variable and the time variable. We show that the functions of Gevrey class 2 are reachable when the initial functions are continuous.",

keywords = "Exact boundary control",

author = "Guo, {Yung Jen Lin}",

year = "2000",

month = jun,

doi = "10.11650/twjm/1500407235",

language = "English",

volume = "4",

pages = "307--320",

journal = "Taiwanese Journal of Mathematics",

issn = "1027-5487",

publisher = "Mathematical Society of the Rep. of China",

number = "2",

}

TY - JOUR

T1 - Exact boundary controllability for heat equation with time dependent coefficients

AU - Guo, Yung Jen Lin

PY - 2000/6

Y1 - 2000/6

N2 - We consider the exact boundary controllability for one-dimensional linear heat equation with coefficients depending on the space variable and the time variable. We show that the functions of Gevrey class 2 are reachable when the initial functions are continuous.

AB - We consider the exact boundary controllability for one-dimensional linear heat equation with coefficients depending on the space variable and the time variable. We show that the functions of Gevrey class 2 are reachable when the initial functions are continuous.

KW - Exact boundary control

UR - http://www.scopus.com/inward/record.url?scp=0039699648&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039699648&partnerID=8YFLogxK

U2 - 10.11650/twjm/1500407235

DO - 10.11650/twjm/1500407235

M3 - Article

AN - SCOPUS:0039699648

SN - 1027-5487

VL - 4

SP - 307

EP - 320

JO - Taiwanese Journal of Mathematics

JF - Taiwanese Journal of Mathematics

IS - 2

ER -

Exact boundary controllability for heat equation with time dependent coefficients

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this