APPROXIMATE CONTROLLABILITY OF A CLASS OF QUASILINEAR PARABOLIC EQUATIONS

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: approximate controllability quasilinear parabolic equation fixedpoint method.
• 年，卷（期）: 2002,（3）
• 页码范围: 81-96
• 页数: 16页
• 分类号: O175.231.
• 语种: 英文

摘要

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.