M. D’Abbicco

activity

20162021

most citedA test function method for evolution equations with fractional powers of the Laplace operator

6 citations · 7 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2021★ 1 cited

Asymptotics of higher order hyperbolic equations with one or two dissipative lower order terms

Marcello D'Abbicco

In this paper, we consider the Cauchy problem for a hyperbolic equation $Q (\partial_{t}, \partial_{x}) u = 0$ of any order $m \geq 3$ , where $t \geq 0$ and $x \in R^{n}$ , and $Q=P_m+P_{m-…

math.AP2020★ 6 cited

A test function method for evolution equations with fractional powers of the Laplace operator

Kazumasa Fujiwara, Marcello D'Abbicco

In this paper, we discuss a test function method to obtain nonexistence of global-in-time solutions for higher order evolution equations with fractional derivatives and a power non…

math.AP2016

Weak stability of the plasma-vacuum interface problem

Davide Catania, Marcello D'Abbicco, Paolo Secchi

We consider the free boundary problem for the two-dimensional plasma-vacuum interface in ideal compressible magnetohydrodynamics (MHD). In the plasma region, the flow is governed b…