3 papers
math.AP2025
Blow up for nonlinear wave-type equations with perturbed derivatives
F. A. Chiarello, G. Girardi, S. Lucente
We investigate semilinear wave-type equations that can be recast as wave equations with derivatives perturbed by zero-order terms. This framework covers several well-studied cases,…
math.AP2025
Sharp lifespan estimates for semilinear fractional evolution equations with critical nonlinearity
Wenhui Chen, Giovanni Girardi
In this paper we consider semilinear wave equation and other second order -evolution equations with different (effective or non-effective) damping mechanisms driven by fraction…
math.AP2024
Critical non-linearity for some evolution equations with Fujita-type critical exponent
Giovanni Girardi
We consider the Cauchy problem for a class of non-linear evolution equations in the form \[L(\partial_t,\partial_x) u=F(\partial_t^\ell u), \quad (t,x)\in [0,\infty)\times \mathbb{…