Electron. J. Differential Equations, Vol. 2024 (2024), No. 28, pp. 1-8.

Solutions of linear and non-linear partial differential equations by means of tensor product theory of Banach space

Waseem Ghazi Alshanti

Abstract:
In this article, we introduce an analytical method for solving both non-separable linear and non-linear partial differential equations, for which separation of variables method does not work. This method is based on the theory of tensor product in Banach spaces coupled with some properties of atoms operators. We provide some illustrative examples.

Submitted August 21, 2023. Published March 29, 2024.
Math Subject Classifications: 35E99, 47B01.
Key Words: Partial differential equations; tensor product of Banach spaces; atomic solution.
DOI: 10.58997/ejde.2024.28

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Waseem Ghazi Alshanti
Department of Mathematics
Al Zaytoonah University of Jordan
Queen Alia Airport St 594
Amman 11733, Jordan
email: w.alshanti@zuj.edu.jo

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