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Paper's Title:

Renormalized Solutions for Nonlinear Parabolic Equation with Lower Order Terms


A. Aberqi1, J. Bennouna1, M. Mekkour1 and H. Redwane2

1Université Sidi Mohammed Ben Abdellah,
Département de Mathématiques,
Laboratoire LAMA, Faculté des Sciences Dhar-Mahrez,
B.P 1796 Atlas Fés,

2Faculté des Sciences Juridiques, Economiques et Sociales,
Université Hassan 1, B.P. 784. Settat,


In this paper, we study the existence of renormalized solutions for the nonlinear parabolic problem: ,where the right side belongs to L1(Ω×(0,T)) and b(u) is unbounded function of u, the term div(a(x,t,u,u)) is a Leray--Lions operator and the function φ is a nonlinear lower order and satisfy only the growth condition.

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