C^k,α-regularity of solutions to quasilinear equations structured on Hörmander's vector fields

2013/04/18 by Marco Bramanti, Bramanti, Marco, Maria Stella Fanciullo +1
Computer Science · Mathematics · #35H20 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP #msc:35H20

paper · pdf · doi:10.48550/arxiv.1304.5236

arxiv created 2013/04/18 · openalex publication_date 2013/04/18 · arxiv updated 2013/04/19 · openalex created_date 2022/09/11 · openalex updated_date 2026/07/28

Abstract

For a linear nonvariational operator structured on smooth Hörmander's vector fields, with Hölder continuous coefficients, we prove a regularity result in the spaces of Hölder functions. We deduce an analogous regularity result for nonvariational degenerate quasilinear equations.

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