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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 2020Show all

7 papers · 1 filter

math.AP2020★ 20 cited

Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity

Wenhui Chen, Sandra Lucente, Alessandro Palmieri

In the present paper, we investigate the blow-up dynamics for local solutions to the semilinear generalized Tricomi equation with combined nonlinearity. As a result, we enlarge the…

math.AP2020★ 21 cited

Blow-up results for semilinear damped wave equations in Einstein-de Sitter spacetime

Alessandro Palmieri

We prove by using an iteration argument some blow-up results for a semilinear damped wave equation in generalized Einstein-de Sitter spacetime with a time-dependent coefficient for…

math.AP2020★ 11 cited

Lifespan estimates for local solutions to the semilinear wave equation in Einstein-de Sitter spacetime

Alessandro Palmieri

In this paper, we prove some blow-up results for the semilinear wave equation in generalized Einstein-de Sitter spacetime by using an iteration argument and we derive upper bound e…

math.AP2020★ 16 cited

A blow-up result for a generalized Tricomi equation with nonlinearity of derivative type

Sandra Lucente, Alessandro Palmieri

In this note, we prove a blow-up result for a semilinear generalized Tricomi equation with nonlinear term of derivative type, i.e., for the equation $\mathscr{T}_{\!\!\ell} u = |\p…

math.AP2020★ 15 cited

On the blow-up of solutions to semilinear damped wave equations with power nonlinearity in compact Lie groups

Alessandro Palmieri

In this note, we prove a blow-up result for the semilinear damped wave equation in a compact Lie group with power nonlinearity for any , under suitable integral sign a…

math.AP2020★ 5 cited

A global existence result for a semilinear wave equation with lower order terms on compact Lie groups

Alessandro Palmieri

In this paper, we study the semilinear wave equation with lower order terms (damping and mass) and with power type nonlinearity on compact Lie groups. We will prove the glo…

math.AP2020★ 6 cited

Semilinear wave equation on compact Lie groups

Alessandro Palmieri

In this note, we study the semilinear wave equation with power nonlinearity on compact Lie groups. First, we prove a local in time existence result in the energy space via…