Special Session 173: Mathematical and Numerical Analysis on Nonlinear PDEs

Wave type equations with perturbed derivatives
Sandra Lucente
Dipartimento Interuniversitario di Fisica, Bari University
Italy
Co-Author(s):    Felisia Chiarello, Giovanni Girardi
Abstract:
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, including the scale-invariant wave equation. In this setting, we refine existing blow-up results for radial initial data with suitable decay, and identify conditions on the zero-order terms that govern the interplay between derivative perturbations, initial data size, and nonlinearity exponent.