湖南文理学院学报(自然科学版)
湖南文理學院學報(自然科學版)
호남문이학원학보(자연과학판)
JOURNAL OF HUNAN UNIVERSITY OF ARTS AND SCIENCE(NATURAL SCIENCE EDITION)
2004年
4期
6-12,14
,共8页
移动点控%抛物型方程%精确零能控
移動點控%拋物型方程%精確零能控
이동점공%포물형방정%정학령능공
Parabolic equation%Null-controllability
考虑一维抛物型方程ut=uxx+b(x,t)+f(u)+(Bv)(x,t),其中超线性项f(·)满足某些比Lipschitz条件更弱的增长条件,(Bv)(x,t)表示移动点控,本文证明了系统的精确零能控性.
攷慮一維拋物型方程ut=uxx+b(x,t)+f(u)+(Bv)(x,t),其中超線性項f(·)滿足某些比Lipschitz條件更弱的增長條件,(Bv)(x,t)錶示移動點控,本文證明瞭繫統的精確零能控性.
고필일유포물형방정ut=uxx+b(x,t)+f(u)+(Bv)(x,t),기중초선성항f(·)만족모사비Lipschitz조건경약적증장조건,(Bv)(x,t)표시이동점공,본문증명료계통적정학령능공성.
The exact null-controllability for the one-dimensional parabolic equation with superlinear term and mobile point control,where the superlinear term satisfies some growth conditions,was proven.
