Oblique derivative boundary value problems on families of planar domains

نویسندگان

چکیده

We consider second-order elliptic equations with oblique derivative boundary conditions, defined on a family of bounded domains in C that depend smoothly real parameter λ∈[0,1]. derive sharp regularity properties the solutions all variables, including λ. More specifically we show solution and its derivatives are continuous Hölder norms space variables uniformly

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ژورنال

عنوان ژورنال: Bulletin Des Sciences Mathematiques

سال: 2023

ISSN: ['0007-4497', '1952-4773']

DOI: https://doi.org/10.1016/j.bulsci.2023.103228