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arXiv · 2509.19520

The preservation of nonnegativity of solutions of a parabolic system with the cubed Laplacian

Messoud Efendiev·Vitali Vougalter
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Abstract

The article is devoted to the easily verifiable necessary condition of the preservation of the nonnegativity of the solutions of a system of parabolic equations containing the cubed Laplacian. Such necessary condition is extremely important for the applied analysis community since it imposes the necessary form of the system of equations that must be studied mathematically.

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Messoud Efendiev, Vitali Vougalter. 2025-09-23. The preservation of nonnegativity of solutions of a parabolic system with the cubed Laplacian. https://arxiv.org/abs/2509.19520

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