一個四階半線性拋物型方程的零邊界控制

Null Boundary Controllability for A Fourth Order Semilinear Parabolic Equation

周曉芳(Hsiao-Fang Chou)

指導教授 ： 林月珍博士

國立臺灣師範大學/理學院/數學系/碩士(2001年)

摘要

We consider the null boundary controllability for a one-dimensional fourth order semilinear parabolic equation. We show that if the initial data is continuous and sufficiently small, then the fourth order semilinear parabolic equation is controllable.

關鍵字

邊界控制 ； 半線性 ； 拋物

並列摘要

We consider the null boundary controllability for a one-dimensional fourth order semilinear parabolic equation. We show that if the initial data is continuous and sufficiently small, then the fourth order semilinear parabolic equation is controllable.

並列關鍵字

Boundary control ； Semilinear ； Parabolic

參考文獻

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2. H. O. Fattorni and D. L. Russell, Exact controllability theorems for linear parabolic equations in one space dimension, Arch. Rational. Mech. Anal. 43 (1971), 272-292.

3. A. Friedman, Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs, NJ, 1964.

4. Y. -J. L. Guo, Exact boundary controllability for heat equation with time dependent coefficients, Taiwanness J. Math. 4 (2000), 307-320.

5. Y. -J. L. Guo, Null boundary controllability for a fourth order parabolic equation, Taiwanness J. Math., (2002) (in press).