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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 decay estimates, , for the solutions to the -evolution equation, , with scale-invariant…
math.AP2020★ 2 cited
The critical exponent for nonlinear damped -evolution equations
Marcello D'Abbicco, Marcelo Rempel Ebert
In this paper, we derive suitable optimal decay estimates, , for the solutions to the -evolution equation, , with structural damping and…