Calculus of Variations and Geometric Measure Theory

G. Floridia - H. Takase

Observability inequalities for degenerate transport equations

created by floridia on 29 Jul 2020

[BibTeX]

preprint

Inserted: 29 jul 2020

Year: 2020

ArXiv: 2007.14073 PDF

Abstract:

In this paper we prove an observability inequality for a degenerate transport equation. First we introduce a local in time Carleman estimate for the degenerate equation, then we apply it to obtain a global in time observability inequality by using also an energy estimate.