Department of Mathematics
Al Zaytoonah University of Jordan
Queen Alia Airport St 594
Amman 11733, Jordan
email: w.alshanti@zuj.edu.jo
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.2023.28
Show me the PDF file (528 KB), TEX file for this article.
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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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