,APPROXIMATE CONTROLLABILITY OF A CLASS OF QUASILINEAR PARABOLIC EQUATIONS

• 作 者: Wang Chunpeng Yin Jingxue Huang Xingbo
• 机 构: Dept. of Math., Jilin Univ., Changchun, Jilin 130012, China
• 出 处: 偏微分方程（英文版）
• 发表日期: 2002年3期
• 关键词: approximate controllability quasilinear parabolic equation fixedpoint method.

In this paper we study the approximate controllability of a class ofquasilinear parabolic equations in a bounded spacial domain Ω RN when the controlacts on any open and nonempty subset of Ω. The approximate controllability inLp(Ω)for N + 2 ≤ p ＜ +∞ is proved. The proof combines a variational approach to thecontrollability problem for linear equations and a fixed point method.