Distributional solutions of the Beltrami equation
We study the distributional solutions to the (generalized) Beltrami equation under Sobolev assumptions on the Beltrami coefficients. In this setting, we prove that these distributional solutions are true quasiregular maps and they are smoother than expected, that is, they have second order derivativ...
| Authors: | ; ; |
|---|---|
| Format: | Article |
| Publication date: | 2019 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:288112 |
| Online Access: | https://ddd.uab.cat/record/288112 https://dx.doi.org/urn:doi:10.1016/j.jmaa.2018.10.050 |
| Access Level: | Open access |
| Keyword: | Beltrami operators Beltrami's equation Distributional solution Quasiconformal mapping |
| Summary: | We study the distributional solutions to the (generalized) Beltrami equation under Sobolev assumptions on the Beltrami coefficients. In this setting, we prove that these distributional solutions are true quasiregular maps and they are smoother than expected, that is, they have second order derivatives in Lloc1+ε, for some ε>0. |
|---|