On solutions of PDEs by using algebras

On solutions of PDEs by using algebras

The components of complex analytic functions define solutions for the Laplace's equation, and in a simply connected domain, each solution of this equation is the first component of a complex analytic function. In this paper, we generalize this result; for each PDE of the form Auxx+Bux +Cu = 0,...

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Tác giả chính:	López-González, Elifalet
Định dạng:	Artículo
Ngôn ngữ:	English
Được phát hành:	2022
Những chủ đề:	differentiation theory heat equation Laplace's equation matrix exponential function partial differential equations (PDEs) wave equation info:eu-repo/classification/cti/1
Truy cập trực tuyến:	https://doi.org/10.1002/mma.8073 https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.8073
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