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arXiv · 2508.08089

Blow up for nonlinear wave-type equations with perturbed derivatives

F. A. Chiarello·G. Girardi·S. Lucente
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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.

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F. A. Chiarello, G. Girardi, S. Lucente. 2025-08-11. Blow up for nonlinear wave-type equations with perturbed derivatives. https://arxiv.org/abs/2508.08089

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