Existence of bounded solutions of some nonlinear parabolic equations

On demontre l'existence d'au moins une solution de l'equation suivante: ∂u/∂t-∑ i=1 N ∂A i (x,t,u(x,t), ⊇u(x,t))+F(x,t,u(x,t),⊇u(x,t))=0 dans #7B-D'(Q), u(x,o)=u 0 (x)∈L ∞ (Ω), u∈L p (O,T; W 0 1p (Ω))∩L ∞ (Q), Q=Ω×] o,T [, 1

Keywords:

• Parabola
• Existence theorem
• Nonlinear system
• Mathematical analysis
• Partial differential equation
• Parabolic partial differential equation
• Bounded function
• Mathematics
• nonlinear parabolic equations
• Mathematical physics

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