Published December 25, 2024
| Version v2
Journal article
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ON A NON-CORRECT PROBLEM FOR A BIHARMONIC EQUATION IN A SEMICIRCLE
Creators
- 1. Doctoral student at Fergana State University
- 2. Fergana branch of TATU named after Muhammed al-Khorazmi Assistant of the Department of "Natural Sciences"
Description
This article addresses a non-correct problem for a biharmonic equation within a semicircular domain. It explores the conditional correctness of the problem and establishes stability through a rigorous theorem. The study employs Fourier series and regularization methods, demonstrating the existence of approximate solutions despite the lack of continuous dependence on initial data. By utilizing Hilbert space concepts and Fredholm equations, the article proposes a framework for constructing reliable approximations. This work contributes to understanding complex mathematical physics problems, specifically those involving biharmonic equations in unconventional geometries
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References
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