Autor:	ABERQI, A., BENNOUNA, J., ELMASSOUDI, M.
Předmět:	NONLINEAR systems DYNAMICAL systems SYSTEMS theory ORLICZ spaces FUNCTION spaces
Zdroj:	Electronic Journal of Mathematical Analysis & Applications; Jan2018, Vol. 6 Issue 1, p156-173, 18p
Abstrakt:	Our aim in this paper is to discuss the existence of renormalized solutions of the following systems: ∂bi(x, ui/∂t - div(a(x,t,ui, ∇ui)) - øi(x,t,ui)) + ƒi(x,u1, u2) = 0 i=1,2. where the function bi(x, ui) verifies some regularity conditions, the term (a(x,t,ui, ∇ui)) is a generalized Leray-Lions operator and øi is a Carathéodory function assumed satisfy only a growth condition. The source term ƒi(t, u1, u2) belongs to L¹ (Ω × (0,T)). [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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