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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.02465 |
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| _version_ | 1866917741332529152 |
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| author | Laurençot, Philippe |
| author_facet | Laurençot, Philippe |
| contents | Existence of global mild solutions to the infinite dimensional Redner--ben-Avraham--Kahng cluster system is shown without growth or structure condition on the kinetic coefficients, thereby extending previous results in the literature. The key idea is to exploit the dissipative features of the system to derive a control on the tails of the infinite sums involved in the reaction terms. Classical solutions are also constructed for a suitable class of kinetic coefficients and initial conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02465 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Redner-ben-Avraham-Kahng cluster system without growth condition on the kinetic coefficients Laurençot, Philippe Classical Analysis and ODEs Existence of global mild solutions to the infinite dimensional Redner--ben-Avraham--Kahng cluster system is shown without growth or structure condition on the kinetic coefficients, thereby extending previous results in the literature. The key idea is to exploit the dissipative features of the system to derive a control on the tails of the infinite sums involved in the reaction terms. Classical solutions are also constructed for a suitable class of kinetic coefficients and initial conditions. |
| title | The Redner-ben-Avraham-Kahng cluster system without growth condition on the kinetic coefficients |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2408.02465 |