Critical semilinear damped wave equations beyond moduli of continuity

Wenhui Chen

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arXiv · 2609.27862

Critical semilinear damped wave equations beyond moduli of continuity

Wenhui Chen

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Abstract

We prove small data global in-time existence for semilinear classical damped wave equations with general nondecreasing nonlinearities satisfying a Dini-type integrability condition. The result extends the global in-time existence part of Ebert-Girardi-Reissig (Math. Ann. 2020) without using the increasing property and the scale-invariant differential assumptions imposed on the modulus of continuity. The proof is based on amplitude-layer decomposition and Hardy-Stieltjes estimates.

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Wenhui Chen. 2026-08-20. Critical semilinear damped wave equations beyond moduli of continuity. https://arxiv.org/abs/2609.27862

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