Null boundary controllability for a fourth order parabolic equation
type: Item
instance of: scholarly article
title: Null boundary controllability for a fourth order parabolic equation
zbMATH Open document ID: 1021.35045
author: Yung-Jen Lin Guo
published in: Taiwanese Journal of Mathematics
publication date: 2003-10-21T00:00:00Z
review text: This paper deals with the following initial-boundary value problem for a one-dimensional fourth-order parabolic equation of the form \[ \begin{cases} w_t+w_{xxxx}=0 & \text{on }(0,1)\times (0,\infty),\\ w(0,t)=0,\;w_x(0,t)=0 & \text{for }t\geq 0,\\ w(x,0)=w_0(x) & \text{for }x\in [0,1],\\ w(1,t)=g(t),\;w_x(1,t)=h(t) & \text{for }t\geq 0.\end{cases}\tag{1} \] The goal of this paper is to study the null boundary controllability problem for (1). The author shows that if the initial data is continuous then the equation (1) is controllable.
Mathematics Subject Classification ID: 35K30
Mathematics Subject Classification ID: 93B05
zbMATH DE Number: 1876797
zbMATH Keywords: one-dimensional fourth-order parabolic equation
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500558308
OpenAlex ID: W1835398917
DOI: 10.11650/TWJM/1500558308
description: scientific article; zbMATH DE number 1876797