Global Schauder estimates for nondivergence stationary operators modeled on homogeneous Hörmander vector fields
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866915823086469120 |
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| author | Faini, Matteo |
| author_facet | Faini, Matteo |
| contents | In this paper we prove global regularity results and Schauder estimates for non-divergence stationary operators of the form L=\sum_{i,j=1}^m a_{ij}(x) X_i X_j, where X_1, ..., X_m are homogeneous (but not necessarily left-invariant) Hörmander vector fields in R^n (n>m), and [a_{ij}(x)] is a symmetric uniformly positive-definite matrix with Hölder-continuous entries w.r.t. the control distance induced by the vector fields X_1, ..., X_m. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_23919 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Global Schauder estimates for nondivergence stationary operators modeled on homogeneous Hörmander vector fields Faini, Matteo Analysis of PDEs 35B45, 35B65 (Primary), 35J70, 35R03 (Secondary) In this paper we prove global regularity results and Schauder estimates for non-divergence stationary operators of the form L=\sum_{i,j=1}^m a_{ij}(x) X_i X_j, where X_1, ..., X_m are homogeneous (but not necessarily left-invariant) Hörmander vector fields in R^n (n>m), and [a_{ij}(x)] is a symmetric uniformly positive-definite matrix with Hölder-continuous entries w.r.t. the control distance induced by the vector fields X_1, ..., X_m. |
| title | Global Schauder estimates for nondivergence stationary operators modeled on homogeneous Hörmander vector fields |
| topic | Analysis of PDEs 35B45, 35B65 (Primary), 35J70, 35R03 (Secondary) |
| url | https://arxiv.org/abs/2602.23919 |