31 citations · 106 across the 17 of their papers we have counts for
19 papers
Operator approach for time-fractional evolution equations in Banach spaces
Giuseppe Floridia, Fikret Golgeleyen, Masahiro Yamamoto
Our first main purpose is to establish a framework for initial value problems for time-fractional evolution equation of order in Banach space : $$ \pppa (u(t)-a) =…
Initial boundary value problems for time-fractional evolution equations in Banach spaces
Giuseppe Floridia, Fikret Golgeleyen, Masahiro Yamamoto
We consider an initial value problem for time-fractional evolution equation in Banach space : $$ \pppa (u(t)-a) = Au(t) + F(t), \quad 0<t<T. \eqno{(*)} $$ Here $u: (0,T) \rrrr X…
Blowup in -norm and global existence for time-fractional diffusion equations with polynomial semilinear terms
Giuseppe Floridia, Yikan Liu, Masahiro Yamamoto
This article is concerned with semilinear time-fractional diffusion equations with polynomial nonlinearity in a bounded domain with the homogeneous Neumann boundary condi…
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…
A Carleman estimate and an energy method for a first-order symmetric hyperbolic system
G. Floridia, H. Takase, M. Yamamoto
For a symmetric hyperbolic system of the first order, we prove a Carleman estimate under some positivity condition concerning the coefficient matrices. Next, applying the Carleman…
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…
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…
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…
Multiplicative controllability for nonlinear degenerate parabolic equations between sign-changing states
Giuseppe Floridia, Carlo Nitsch, Cristina Trombetti
In this paper we study the global approximate multiplicative controllability for nonlinear degenerate parabolic Cauchy problems. In particular, we consider a one-dimensional semili…
Multiplicative controllability for semilinear reaction-diffusion equations with finitely many changes of sign
Piermarco Cannarsa, Giuseppe Floridia, Alexander Y. Khapalov
We study the global approximate controllability properties of a one dimensional semilinear reaction-diffusion equation governed via the coefficient of the reaction term. It is assu…
Exact controllability for quasi-linear perturbations of KdV
Pietro Baldi, Giuseppe Floridia, Emanuele Haus
We prove that the KdV equation on the circle remains exactly controllable in arbitrary time with localized control, for sufficiently small data, also in presence of quasi-linear pe…
Well-posedness for a class of nonlinear degenerate parabolic equations
Giuseppe Floridia
In this paper we obtain well-posedness for a class of semilinear weakly degenerate reaction-diffusion systems with Robin boundary conditions. This result is obtained through a Gagl…
Well-posedness of 2D and 3D swimming models in incompressible fluids governed by Navier--Stokes equations
Alexandre Khapalov, Piermarco Cannarsa, Fabio S. Priuli +1
We introduce and investigate the wellposedness of two models describing the self-propelled motion of a "small bio-mimetic swimmer" in the 2D and 3D incompressible fluids modeled by…
Approximate controllability for linear degenerate parabolic problems with bilinear control
Piermarco Cannarsa, Giuseppe Floridia
In this work we study the global approximate multiplicative controllability for the linear degenerate parabolic Cauchy-Neumann problem $$ \{{array}{l} \displaystyle{v_t-(a(x) v_x)_…