Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Schiavone, Nico Michele"'
We establish global bounds for solutions to stationary and time-dependent Schr\"odinger equations associated with the sublaplacian $\mathcal L$ on the Heisenberg group, as well as its pure fractional power $\mathcal L^s$ and conformally invariant fra
Externí odkaz:
http://arxiv.org/abs/2409.11943
We prove uniform resolvent estimates in weighted $L^2$-spaces for radial solutions of the sublaplacian $\mathcal{L}$ on the Heisenberg group $\mathbb{H}^d$. The proofs are based on the multipliers methods, and strongly rely on the use of suitable mul
Externí odkaz:
http://arxiv.org/abs/2310.18050
Autor:
Lai, Ning-An, Schiavone, Nico Michele
Publikováno v:
J. Evol. Equ. (2023)23:65
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 some techniques from the blow-up study of nonlinear wave equations. T
Externí odkaz:
http://arxiv.org/abs/2211.11377
We prove uniform resolvent estimates in weighted $L^2$-spaces for the sublaplacian $\mathcal{L}$ on the Heisenberg group $\mathbb{H}^d$. The proof are based on multiplier methods, and strongly rely on the use of horizontal multipliers and the associa
Externí odkaz:
http://arxiv.org/abs/2203.07296
In this paper we are interested in generalizing Keller-type eigenvalue estimates for the non-selfadjoint Schr\"{o}dinger operator to the Dirac operator, imposing some suitable rigidity conditions on the matricial structure of the potential, without n
Externí odkaz:
http://arxiv.org/abs/2108.12854
Publikováno v:
Nonlinear Anal. 214 (2022) 112565
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 estimates already established in the literature combined with the renowned Bi
Externí odkaz:
http://arxiv.org/abs/2104.13647
Autor:
Lai, Ning-An, Schiavone, Nico Michele
We study in this paper the small data Cauchy problem for the semilinear generalized Tricomi equations with a nonlinear term of derivative type $u_{tt}-t^{2m}\Delta u=|u_t|^p$ for $m\ge0$. Blow-up result and lifespan estimate from above are establishe
Externí odkaz:
http://arxiv.org/abs/2007.16003
In this work we prove that the eigenvalues of the $n$-dimensional massive Dirac operator $\mathscr{D}_0 + V$, $n\ge2$, perturbed by a possibly non-Hermitian potential $V$, are localized in the union of two disjoint disks of the complex plane, provide
Externí odkaz:
http://arxiv.org/abs/2006.02778
Publikováno v:
J. Differential Equations 269 (2020), no. 12, 11575-11620
In this paper we study several semilinear damped wave equations with "subcritical" nonlinearities, focusing on demonstrating lifespan estimates for energy solutions. Our main concern is on equations with scale-invariant damping and mass. Under differ
Externí odkaz:
http://arxiv.org/abs/2003.10578
Publikováno v:
The Role of Metrics in the Theory of Partial Differential Equations, 391-405, Mathematical Society of Japan, Tokyo, Japan (2020)
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 term. We show that the negative mass term will play a dominant role when
Externí odkaz:
http://arxiv.org/abs/1905.08100