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

Fuente: arXiv
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Autori principali: Efendiev, Messoud, Vougalter, Vitali
Natura: Preprint
Pubblicazione: 2025
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author Efendiev, Messoud
Vougalter, Vitali
author_facet Efendiev, Messoud
Vougalter, Vitali
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_19520
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The preservation of nonnegativity of solutions of a parabolic system with the cubed Laplacian
Efendiev, Messoud
Vougalter, Vitali
Analysis of PDEs
35K55, 35K57
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.
title The preservation of nonnegativity of solutions of a parabolic system with the cubed Laplacian
topic Analysis of PDEs
35K55, 35K57
url https://arxiv.org/abs/2509.19520