35 citations · 111 across the 11 of their papers we have counts for
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math.AP2020★ 27 cited
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 …
math.SP2020★ 14 cited
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…
math.AP2020★ 35 cited
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…