Blow up for nonlinear wave-type equations with perturbed derivatives
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913984716734464 |
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| author | Chiarello, F. A. Girardi, G. Lucente, S. |
| author_facet | Chiarello, F. A. Girardi, G. Lucente, S. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_08089 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Blow up for nonlinear wave-type equations with perturbed derivatives Chiarello, F. A. Girardi, G. Lucente, S. Analysis of PDEs 35B33, 35L70 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. |
| title | Blow up for nonlinear wave-type equations with perturbed derivatives |
| topic | Analysis of PDEs 35B33, 35L70 |
| url | https://arxiv.org/abs/2508.08089 |