31 citations · 106 across the 17 of their papers we have counts for
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Nonnegative multiplicative controllability for semilinear multidimensional reaction-diffusion equations
Giuseppe Floridia
In this paper we consider a multidimensional semilinear reaction-diffusion equation and we obtain at any arbitrary time an approximate controllability result between nonnegative st…
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…
Backward problems in time for fractional diffusion-wave equation
Giuseppe Floridia, Masahiro Yamamoto
In this article, for a time-fractional diffusion-wave equation $\pppa u(x,t) = -Au(x,t)$, with fractional order , we consider the backward problem in time: dete…
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…
Nonnegative controllability for a class of nonlinear degenerate parabolic equations with application to climate science
Giuseppe Floridia
Let us consider a nonlinear degenerate reaction-diffusion equation with application to climate science. After proving that the solution remains nonnegative at any time, when the in…
Well-posedness for the backward problems in time for general time-fractional diffusion equation
Giuseppe Floridia, Zhiyuan Li, Masahiro Yamamoto
In this article, we consider a partial differential equation with Caputo time-derivative: where and satisfies the zero Dirichlet boundary con…