Blow up for nonlinear wave-type equations with perturbed derivatives
Analysis of PDEs
2025-08-12 v1
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.
Cite
@article{arxiv.2508.08089,
title = {Blow up for nonlinear wave-type equations with perturbed derivatives},
author = {F. A. Chiarello and G. Girardi and S. Lucente},
journal= {arXiv preprint arXiv:2508.08089},
year = {2025}
}