Approximation of continuous functions on a compact set by solutions of elliptic equations. Quantitative results
Artikel i vetenskaplig tidskrift, 2026
We establish that a generalized Hölder continuous function on an (m − 2)-Ahlfors regular compact set in ℝm can be approximated by solutions of an elliptic equation, with the rate of approximation determined by the continuity modulus of the function.
Författare
Grigori Rozenblioum
Göteborgs universitet
Chalmers, Matematiska vetenskaper
Saint Petersburg State University - Spsu
Nikolay Shirokov
Saint Petersburg State University - Spsu
National Research University Higher School of Economics
Israel Journal of Mathematics
0021-2172 (ISSN) 15658511 (eISSN)
Vol. In PressÄmneskategorier (SSIF 2025)
Beräkningsmatematik
Matematisk analys
DOI
10.1007/s11856-026-2906-7