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Your search keyword '"78M30"' showing total 5 results
Start Over Descriptor "78M30" Topic 35q60
5 results on '"78M30"'

1. Spurious Resonances in Coupled Domain-Boundary Variational Formulations of Transmission Problems in Electromagnetism and Acoustics.

Author

Schulz, Erick and Hiptmair, Ralf

Subjects
ELECTROMAGNETISM, ELECTROMAGNETIC wave scattering, RESONANCE, INTEGRAL equations, SOUND wave scattering
Abstract

We develop a framework shedding light on common features of coupled variational formulations arising in electromagnetic scattering and acoustics. We show that spurious resonances haunting coupled domain-boundary formulations based on direct boundary integral equations of the first kind originate from the formal structure of their Calderón identities. Using this observation, the kernel of the coupled problem is characterized explicitly, and we show that it completely vanishes under the exterior representation formula. [ABSTRACT FROM AUTHOR]

Published
2022
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2. Existence of two solutions for $p(x)$-curl systems with a small perturbation

Author

De-Jing Lv, Xue-Lin Gui, and Bin Ge

Subjects
Curl (mathematics), Pure mathematics, multiple solutions, General Mathematics, 35Q60, variational methods, Perturbation (astronomy), variable exponent Sobolev space, 35J20, 35J70, $p(x)$-curl systems, 78M30, Mathematics
Abstract

In this paper, we study the existence of at least two non-trivial solution for a class of $p(x)$-curl systems with a small perturbation. We provide one new criterion to ensure the existence of two solutions. Recent results in the literature are extended and significantly improved.

Published
2019
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