Electromagnetic Riemann-Hilbert Boundary Value Problem in Fractal Domains of ${mathbb R}^2$
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F22%3AA2302EZQ" target="_blank" >RIV/61988987:17310/22:A2302EZQ - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s12220-022-00929-9" target="_blank" >https://link.springer.com/article/10.1007/s12220-022-00929-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s12220-022-00929-9" target="_blank" >10.1007/s12220-022-00929-9</a>
Alternative languages
Result language
angličtina
Original language name
Electromagnetic Riemann-Hilbert Boundary Value Problem in Fractal Domains of ${mathbb R}^2$
Original language description
In this paper we present a hyperholomorphic (associated to the Helmholtz equation) approach to the Riemann-Hilbert boundary value problem (RHBVP for short) in domains of R^2 with h-summable boundaries. We apply our results to Maxwell’s system and study an electromagnetic RHBVP for the case time-harmonic. The study is based on a reformulation of the time-harmonic Maxwell system in terms of electromagnetic potentials. The main geometric ingredient is the h-summability condition assumed for domains' boundaries, which are considered fractals.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
J GEOM ANAL
ISSN
1050-6926
e-ISSN
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Volume of the periodical
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Issue of the periodical within the volume
7
Country of publishing house
CH - SWITZERLAND
Number of pages
15
Pages from-to
1-15
UT code for WoS article
000787298900002
EID of the result in the Scopus database
2-s2.0-85128890786