Vitali Vougalter
The preservation of nonnegativity of solutions of a parabolic system with the bi-Laplacian
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ABSTRACT.  The paper deals with the easily verifiable necessary condition of the preservation of the nonnegativity of the solutions of a system of parabolic equations involving the bi-Laplace operator. This necessary condition is vitally important for the applied analysis community because it imposes the necessary form of the system of equations that must be studied mathematically.