IJPAM: Volume 25, No. 2 (2005)

UNIQUENESS, STABILITY AND CONTINUOUS
DEPENDENCE OF SOLUTIONS OF PARABOLIC SYSTEM

Haiqing Zhao$^1$, Enmin Feng$^2$, Zhijun Li$^3$
$^{1,2}$Department of Applied Mathematics
Dalian University of Technology
Dalian, 116024, P.R. CHINA
$^1$e-mail: z-h-q-95950@163.com
$^3$State Key Lab of Coastal and Offshore Engineering
Dalian University of Technology
Dalian, 116024, P.R. CHINA


Abstract.In this paper, we prove the uniqueness and stability of solutions and the continuous dependence on parameter variables for parabolic problem \begin{equation*} \left\{ \begin{array}{ll} \frac{\partial u}{\partial t}=\frac{... ...\\ u(0,t)=p(t),\ \ u(l,t)=q(t), & t\in I.% \end{array}% \right. \end{equation*}

Received: July 10, 2005

AMS Subject Classification: 35K40

Key Words and Phrases: uniqueness, stability, continuous dependence, parabolic equation

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 25
Issue: 2