Seminario di Equazioni Differenziali e Applicazioni: “Regularity theory for Maxwell's equations”

Mercoledì 6 Giugno 2018, ore 12:00 - Aula 2BC30 - Giovanni S. Alberti


Mercoledì 6 Giugno 2018 alle ore 12:00 in Aula 2BC30, Giovanni S. Alberti (Università di Genova) terrà un seminario dal titolo “Regularity theory for Maxwell's equations”.

The focus of this talk is the regularity theory for time-harmonic Maxwell's equations with complex anisotropic parameters. By using the Helmholtz decomposition of the fields, we show how the problem can be completely reduced to a regularity question for elliptic equations, for which classical results may be applied. In particular, we prove the Hölder regularity of solutions under minimal assumptions on the coefficients.

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