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EXISTENCE OF BOUNDED SOLUTIONS FOR A NONLINEAR PARABOLIC SYSTEM WITH NONLINEAR GRADIENT TERM
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نویسنده
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EL OUARDI HAMID
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منبع
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jordan journal of mathematics and statistics - 2009 - دوره : 2 - شماره : 2 - صفحه:73 -82
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چکیده
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In this note we show the existence of bounded solutions of the nonlinear parabolic system (u1)_t+a_1u_1=a1(x) ivu_1i^p1+f_1(x, u_1, u_2) (u2)_t+a_2u_2=a2(x) ivu_2i^p2+f_2(x, u_1, u_2) where a_i is the pseudo-laplacian operator and ai, fi are given functions, i = 1; 2. we prove the existence of weak bounded solutions using a priori l1¡ estimate and the theory of nonlinear parabolic approximation.
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آدرس
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Universite Hassan II Ain Chock, Equipe Architures des Systemes, Morocco
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Authors
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