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20182020
most citedNonnegative multiplicative controllability for semilinear multidimensional reaction-diffusion equations

1 citations · 1 across the 2 of their papers we have counts for

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6 papers

math.AP20201 cited

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…

math.AP2020

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…

math.OC2020

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…

math.AP2020

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…

math.AP2019

Inverse coefficient problems for a transport equation by local Carleman estimate

Piermarco Cannarsa, Giuseppe Floridia, Fikret Gölgeleyen +1

We consider the transport equation $\ppp_tu(x,t) + (H(x)\cdot \nabla u(x,t)) + p(x)u(x,t) = 0$ in $\OOO \times (0,T)$ where $\OOO \subset \R^n$ is a bounded domain, and discuss two…

math.AP2018

Observability inequalities for transport equations through Carleman estimates

Piermarco Cannarsa, Giuseppe Floridia, Masahiro Yamamoto

We consider the transport equation $\ppp_t u(x,t) + H(t)\cdot \nabla u(x,t) = 0$ in $\OOO\times(0,T),$ where and $\OOO\subset \R^d $ is a bounded domain with smooth boundary…