35 citations · 111 across the 11 of their papers we have counts for
12 papers
Asymptotic fractional uncertainty principle for the Helmholtz equation with periodic scattering data
Javier Canto, Nico Michele Schiavone, Luis Vega
We investigate the fractional dispersion of solutions to the Helmholtz equation with periodic scattering data. We show that, under appropriate rescaling, the interaction between th…
Uniform resolvent estimates, smoothing effects and spectral stability for the Heisenberg sublaplacian
Luca Fanelli, Haruya Mizutani, Luz Roncal +1
We establish global bounds for solutions to stationary and time-dependent Schrödinger equations associated with the sublaplacian on the Heisenberg group, as well as it…
Non-existence of radial eigenfunctions for the perturbed Heisenberg sublaplacian
Luca Fanelli, Haruya Mizutani, Luz Roncal +1
We prove uniform resolvent estimates in weighted -spaces for radial solutions of the sublaplacian on the Heisenberg group . The proofs are based on…
Lifespan estimates for the compressible Euler equations with damping via Orlicz spaces techniques
Ning-An Lai, Nico Michele Schiavone
In this paper we are interested in the upper bound of the lifespan estimate for the compressible Euler system with time dependent damping and small initial perturbations. We employ…
Non self-adjoint perturbations of the Heisenberg sublaplacian
Luca Fanelli, Luz Roncal, Nico Michele Schiavone
We prove uniform resolvent estimates in weighted -spaces for the sublaplacian on the Heisenberg group . The proof are based on multiplier methods,…
Keller-type bounds for Dirac operators perturbed by rigid potentials
Haruya Mizutani, Nico Michele Schiavone
In this paper we are interested in generalizing Keller-type eigenvalue estimates for the non-selfadjoint Schrödinger operator to the Dirac operator, imposing some suitable rigidity…
Localization of eigenvalues for non-self-adjoint Dirac and Klein-Gordon operators
Piero D'Ancona, Luca Fanelli, David Krejcirik +1
This note aims to give prominence to some new results on the absence and localization of eigenvalues for the Dirac and Klein-Gordon operators, starting from known resolvent estimat…
Blow-up and lifespan estimate for generalized Tricomi equations related to Glassey conjecture
Ning-An Lai, Nico Michele Schiavone
We study in this paper the small data Cauchy problem for the semilinear generalized Tricomi equations with a nonlinear term of derivative type for …
Eigenvalue bounds for non-selfadjoint Dirac operators
Piero D'Ancona, Luca Fanelli, Nico Michele Schiavone
In this work we prove that the eigenvalues of the -dimensional massive Dirac operator , , perturbed by a possibly non-Hermitian potential , are loca…
Heat-like and wave-like lifespan estimates for solutions of semilinear damped wave equations via a Kato's type lemma
Ning-An Lai, Nico Michele Schiavone, Hiroyuki Takamura
In this paper we study several semilinear damped wave equations with "subcritical" nonlinearities, focusing on demonstrating lifespan estimates for energy solutions. Our main conce…
Short time blow-up by negative mass term for semilinear wave equations with small data and scattering damping
Ning-An Lai, Nico Michele Schiavone, Hiroyuki Takamura
In this paper we study blow-up and lifespan estimate for solutions to the Cauchy problem with small data for semilinear wave equations with scattering damping and negative mass ter…
Wave-like blow-up for semilinear wave equations with scattering damping and negative mass term
Ning-An Lai, Nico Michele Schiavone, Hiroyuki Takamura
In this paper we establish blow-up results and lifespan estimates for semilinear wave equations with scattering damping and negative mass term for subcritical power, which is the s…