M. D’Abbicco

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math.AP2026

The critical exponent for semilinear wave equations with damped oscillations

Marcello D'Abbicco

We determine the existence exponent for the global small data solutions for a class of evolution equations with power nonlinearity under the effect of a dissipation that dampen the…

math.AP2026

A class of multipliers from $L^{1} (R^{n})$ to the Hardy space $H^{1} (R^{n})$

Marcello D'Abbicco

In this note, we show a condition on the derivatives of a multiplier $m \in L^{\infty}$ that guarantees that $m$ is a multiplier from $L^{1} (R^{n})$ to the Hardy Space $H^1(\math…

math.AP2026

Dispersive-Dissipative estimates for Boussinesq and other generalized wave equations

Marcello D'Abbicco, Marcelo Rempel Ebert, Antonio Lagioia

We derive dispersive-dissipative estimates for multipliers associated to a general class of wave-type equations, in particular for the viscous Boussinesq equation. The dispersion i…

math.AP2025

Sharp Lp-Lq estimates for evolution equations with damped oscillations

Marcello D'Abbicco, Marcelo Rempel Ebert

In this paper we derive sharp $L^{p} - L^{q}$ estimates, $1 \leq p \leq q \leq \infty$ (including endpoint estimates as $L^{1} - L^{1}$ and $L^{1} - L^{\infty}$ ) for dissipative wave-type equations, un…

The critical exponent for semilinear wave equations with damped oscillations

A class of multipliers from L1(Rn) to the Hardy space H1(Rn)

Dispersive-Dissipative estimates for Boussinesq and other generalized wave equations

Sharp Lp-Lq estimates for evolution equations with damped oscillations

A class of multipliers from $L^{1} (R^{n})$ to the Hardy space $H^{1} (R^{n})$