Jorge Marques

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20202022

most citedThe move from Fujita to Kato type exponent for a class of semilinear evolution equations with time-dependent damping

1 citations · 1 across the 3 of their papers we have counts for

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math.AP2020★ 1 cited

The move from Fujita to Kato type exponent for a class of semilinear evolution equations with time-dependent damping

Marcelo Rempel Ebert, Jorge Marques, Wanderley Nunes do Nascimento

In this paper, we derive suitable optimal $L^{p} - L^{q}$ decay estimates, $1 \leq p \leq 2 \leq q \leq \infty$ , for the solutions to the $σ$ -evolution equation, $σ > 1$ , with scale-invariant…