移动点控抛物型方程的精确零能控(英文)

Exact Null - Controllability of Parabolic Equation with Mobile Point Controls

考虑一维抛物型方程ut=u(?)+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.

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.