On quantitative Runge approximation for the time harmonic Maxwell equations

Pohjola, Valter

doi:10.1090/tran/8662

On quantitative Runge approximation for the time harmonic Maxwell equations
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Abstract:

Here we derive some results on so called quantitative Runge approximation in the case of the time-harmonic Maxwell equations. This provides a Runge approximation having more explicit quantitative information. We additionally derive some results on the conditional stability of the Cauchy problem for the time-harmonic Maxwell equations.

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Additional Information

Valter Pohjola
Affiliation: BCAM - Basque Center for Applied Mathematics, Bilbao, Spain
MR Author ID: 1092393
ORCID: 0000-0002-6441-7628
Email: valter.pohjola@gmail.com
Received by editor(s): June 1, 2021
Received by editor(s) in revised form: January 24, 2022
Published electronically: June 10, 2022
Additional Notes: The author was supported by the grant PGC2018-094528-B-I00.
Journal: Trans. Amer. Math. Soc. 375 (2022), 5727-5751
DOI: https://doi.org/10.1090/tran/8662
MathSciNet review: 4469235