Generalized Laplacian decomposition of vector fields on fractal surfaces
نویسندگان
چکیده
We consider the behavior of generalized Laplacian vector fields on a Jordan domain R3 with fractal boundary. Our approach is based properties Teodorescu transform and suitable extension fields. Specifically, present article addresses decomposition problem Hölder continuous field boundary (also called reconstruction problem) into sum two in complement its closure, respectively. In addition, conditions to be trace are also established.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2021
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2021.125038