Fractional diffusion-wave equations with critical nonlinearities in Lebesgue spaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911427384573952 |
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| author | Costa, Masterson Cuevas, Claudio de Andrade, Bruno |
| author_facet | Costa, Masterson Cuevas, Claudio de Andrade, Bruno |
| contents | This paper focuses on the study of semilinear fractional diffusion-wave equations in the context of critical nonlinearities. Firstly, we address the issue of local well-posedness for the problem, examine spatial regularity, and the continuous dependence of the solutions on initial data. Secondly, we establish the existence of global mild solutions and investigate their asymptotic behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_06461 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fractional diffusion-wave equations with critical nonlinearities in Lebesgue spaces Costa, Masterson Cuevas, Claudio de Andrade, Bruno Analysis of PDEs This paper focuses on the study of semilinear fractional diffusion-wave equations in the context of critical nonlinearities. Firstly, we address the issue of local well-posedness for the problem, examine spatial regularity, and the continuous dependence of the solutions on initial data. Secondly, we establish the existence of global mild solutions and investigate their asymptotic behavior. |
| title | Fractional diffusion-wave equations with critical nonlinearities in Lebesgue spaces |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2602.06461 |