3 papers
math.AP2022
Local Hölder stabilities for inverse problems of first-order hyperbolic equations
Giuseppe Floridia, Hiroshi Takase
In this paper, we consider a Cauchy problem for a first-order hyperbolic equation with time-dependent coefficients. Cauchy data are given on a lateral subboundary and we obtain loc…
math.AP2020
Inverse problems for first-order hyperbolic equations with time-dependent coefficients
Giuseppe Floridia, Hiroshi Takase
We prove global Lipschitz stability for inverse source and coefficient problems for first-order linear hyperbolic equations, the coefficients of which depend on both space and time…
math.AP2020
Observability inequalities for degenerate transport equations
Giuseppe Floridia, Hiroshi Takase
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 ap…