4 papers · 1 filter
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,…
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 fractiona…
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{…
Critical regularity of nonlinearities in semilinear classical damped wave equations
Marcelo Rempel Ebert, Giovanni Girardi, Michael Reissig
In this paper we consider the Cauchy problem for the semilinear damped wave equation where $h(s) = |s|^{1+2/n}…