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math.AP2025
The preservation of nonnegativity of solutions of a parabolic system with the cubed Laplacian
Messoud Efendiev, Vitali Vougalter
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 cube…
math.AP2025
On the well-posedness of some model with the cubed Laplacian arising in the Mathematical Biology
Messoud Efendiev, Vitali Vougalter
In the article we establish the global well-posedness in W^{1,(6,2)}(R \times R+) of the integro-differential equation containing the cube of the one dimensional Laplacian and the…
math.AP2025
On the well-posedness of a certain model with the bi-Laplacian appearing in the Mathematical Biology
Messoud Efendiev, Vitali Vougalter
The work is devoted to the global well-posedness in W^{1, (4, 2)}(R\times R^{+}) of the integro-differential problem involving the square of the one dimensional Laplace operator al…