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, $1\le p\le q\le \infty$ (including endpoint estimates as $L^1-L^1$ and $L^1-L^{\infty }$) for dissipative wave-type equations, un…