A new global Carleman estimate for Cahn-Hilliard type equation and its applications

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:260

Article

Gao, Peng^1,2 

[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[2] NE Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Peoples R China

关键词: Global Carleman estimate;    Cahn Hilliard type equation;    Unique Continuation Property;    Null controllability;   

DOI  :  10.1016/j.jde.2015.08.053

来源: Elsevier

【 摘 要 】

We establish a new Carleman inequality for linear Cahn-Hilliard type equation when the norms of right hand sides are in Sobolev spaces of negative orders, and apply it to obtain the Unique Continuation Property (UCP) for Cahn-Hilliard type equation with the coefficients of terms of lower order that are not regular and null controllability for semilinear Cahn Hilliard type equation whose semilinear term contains derivatives of first and second order of solutions. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free