Carleman estimates and observability inequalities for parabolic equations with interior degeneracy

Advances in Nonlinear Analysis

article

Genni Fragnelli¹  Dimitri Mugnai² 

[1] Dipartimento di Matematica, Università di Bari “Aldo Moro”;Dipartimento di Matematica e Informatica, Università di Perugia

关键词: Degenerate equation;    interior degeneracy;    Carleman estimates;    observability inequalities;   

DOI  :  10.1515/anona-2013-0015

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

Abstract. We consider a parabolic problem with degeneracy in the interior of the spatial domain, and we focus on Carleman estimates for the associated adjoint problem. The novelty of interior degeneracy does not let us adapt previous Carleman estimates to our situation. As an application, observability inequalities are established.

【 授权许可】

CC BY