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Paper's Title:

Mass Transportation Approach For Parabolic P-Biharmonic Equations


A. Soglo, K. W. Houedanou, J. Adetola

Institut de Mathematiques et de Sciences Physiques (IMSP)
 Universite d'Abomey-Calavi,
Rep. of Benin

Departement de Mathematiques
Faculte des Sciences et Techniques (FAST)
Universite d'Abomey-Calavi,
Rep. of Benin

Universite Nationale des Sciences, Technologie, Ingenierie et Mathematiques (UNSTIM,
Rep. of Benin


In this paper, we propose a mass transportation method to solving a parabolic p-biharmonic equations, which generalized the Cahn-Hilliard (CH) equations in RN, NN*. By using a time-step optimal approximation in the appropriate Wasserstein space, we define an approximate weak solution which converges to the exact solution of the problem. We also show that the solution under certain conditions may be unique. Therefore, we study the asymptotic behavior of the solution of the parabolic p-biharmonic problem.

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