14 citations · 18 across the 3 of their papers we have counts for
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★ 14 cited
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★ 4 cited
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…