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20172022
most citedFujita versus Strauss - a never ending story

55 citations · 572 across the 31 of their papers we have counts for

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Showing 2018Show all

6 papers · 1 filter

math.AP2018★ 21 cited

Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case

Alessandro Palmieri, Hiroyuki Takamura

In this paper we consider the blow-up for solutions to a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case. After introducing suit…

math.AP2018★ 33 cited

Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities

Alessandro Palmieri, Hiroyuki Takamura

In this work we study the blow-up of solutions of a weakly coupled system of damped semilinear wave equations in the scattering case with power nonlinearities. We apply an iteratio…

math.AP2018★ 23 cited

A note on a conjecture for the critical curve of a weakly coupled system of semilinear wave equations with scale-invariant lower order terms

Alessandro Palmieri

In this note two blow-up results are proved for a weakly coupled system of semilinear wave equations with distinct scale-invariant lower order terms both in the subcritical case an…

math.AP2018★ 17 cited

Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part

Wenhui Chen, Alessandro Palmieri

In this work we determine the critical exponent for a weakly coupled system of semilinear wave equations with distinct scale-invariant lower order terms, when these terms make both…

math.AP2018★ 39 cited

Lifespan of semilinear wave equation with scale invariant dissipation and mass and sub-Strauss power nonlinearity

Alessandro Palmieri, Ziheng Tu

In this paper, we study the blow-up of solutions for semilinear wave equations with scale-invariant dissipation and mass in the case in which the model is somehow 'wave-like'. A St…

math.AP2018★ 35 cited

A global existence result for a semilinear wave equation with scale-invariant damping and mass in even space dimension

Alessandro Palmieri

In the present article a semilinear wave equation with scale-invariant damping and mass is considered. The global (in time) existence of radial symmetric solutions in even spatial…