Interpolated time-Hölder regularity of solutions of fully nonlinear parabolic equations
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917205838397440 |
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| author | Goffi, Alessandro |
| author_facet | Goffi, Alessandro |
| contents | We show interior Schauder estimates for a special class of fully nonlinear parabolic Isaacs equations by the maximum principle, providing an Evans-Krylov result for the model equation $\min\{\inf_βL_βu,\sup_γL_γu\}-\partial_t u=0$, where $L_β,L_γ$ are linear operators with possibly variable Hölder coefficients. We also give a proof of the Evans-Krylov theorem for fully nonlinear uniformly parabolic equations for which a regularity theory of the stationary non-homogeneous equation is available. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12427 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Interpolated time-Hölder regularity of solutions of fully nonlinear parabolic equations Goffi, Alessandro Analysis of PDEs We show interior Schauder estimates for a special class of fully nonlinear parabolic Isaacs equations by the maximum principle, providing an Evans-Krylov result for the model equation $\min\{\inf_βL_βu,\sup_γL_γu\}-\partial_t u=0$, where $L_β,L_γ$ are linear operators with possibly variable Hölder coefficients. We also give a proof of the Evans-Krylov theorem for fully nonlinear uniformly parabolic equations for which a regularity theory of the stationary non-homogeneous equation is available. |
| title | Interpolated time-Hölder regularity of solutions of fully nonlinear parabolic equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2406.12427 |