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A study of Poisson-type Equations with Sign Changing Parameters in Fully Asymmetric Configurations
- 1 Fudan International School, Shanghai, China
* Author to whom correspondence should be addressed.
Abstract
In this paper, we consider some Poisson-type equations arising from the study of electromagnetic wave propagation in metals and metamaterials, where sign-changing coefficients in these equations lead to challenges that fall outside standard frameworks. We apply the T-isomorphism method, expanding on the approach in [1], to analyze Poisson-type equations in fully asymmetric configurations. These configurations require a new construction of isomorphism T. Finally, we obtain the well-posedness of these problems under certain parameters
Keywords
T-isomorphism, non-coercive problems, Poisson-type equations
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Cite this article
Chen,H. (2025). A study of Poisson-type Equations with Sign Changing Parameters in Fully Asymmetric Configurations. Theoretical and Natural Science,87,103-121.
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Volume title: Proceedings of the 4th International Conference on Computing Innovation and Applied Physics
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