# American Institute of Mathematical Sciences

June  2021, 20(6): 2323-2340. doi: 10.3934/cpaa.2021081

## On local solvability for a class of generalized Mizohata equations

 1 Universidade Federal do Rio Grande, Instituto de Matemática, Estatística e Física, RS, Brazil 2 Universidade Federal de São Carlos, Departamento de Matemáica, SP, Brazil

* Corresponding author

Received  October 2020 Revised  March 2021 Published  May 2021

Fund Project: The first author was partially supported by CAPES. The second author is a associate researcher of the Thematic project no. 2018/14316-3 (FAPESP)

The image in $C^{\infty}$ for a class of complex vector fields, containing the Mizohata operator, was characterized.

Citation: L. R. Nunes, J. R. Dos Santos Filho. On local solvability for a class of generalized Mizohata equations. Communications on Pure & Applied Analysis, 2021, 20 (6) : 2323-2340. doi: 10.3934/cpaa.2021081
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