Interface vanishing of $ d-\delta $ systems

Takashi Suzuki; Kazuo Watanabe; Takashi Suzuki; Kazuo Watanabe

doi:10.3934/math.2024382

AIMS Mathematics

2024, Volume 9, Issue 4: 7848-7865. doi: 10.3934/math.2024382

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Interface vanishing of $ d-\delta $ systems

Takashi Suzuki ^{1
,
,},
Kazuo Watanabe ²

1.
Center for Mathematical Modeling and Data Science, Osaka University, Machikaneyamacho 1-3, Toyonakashi, 560-8531, Japan
2.
College of Liberal Arts and Sciences, Kitasato University, 1-15-1, Minami-ku, Kitazato, Sagamiharashi, 252-0373, Japan

Received: 03 November 2023 Revised: 18 February 2024 Accepted: 18 February 2024 Published: 23 February 2024
MSC : 35B65, 35Q61, 36L40

We introduce $ d-\delta $ systems on differential forms in Eucliean spaces and show the interface vanishing of the solution. This result generalizes previous theorems on stationary and non-stationary Maxwell's equation. Other applications are also given.
- $ d-\delta $ systems,
- differential forms,
- interface vanishing,
- Maxwell equation
Citation: Takashi Suzuki, Kazuo Watanabe. Interface vanishing of $ d-\delta $ systems[J]. AIMS Mathematics, 2024, 9(4): 7848-7865. doi: 10.3934/math.2024382

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Abstract

We introduce $ d-\delta $ systems on differential forms in Eucliean spaces and show the interface vanishing of the solution. This result generalizes previous theorems on stationary and non-stationary Maxwell's equation. Other applications are also given.

References

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