Clark, M. R.Lima, O. A.2018-08-302018-08-301997-03-06Clark, M. R., & Lima, O. A. (1997). On a mixed problem for a coupled nonlinear system. <i>Electronic Journal of Differential Equations, 1997</i>(06), pp. 1-11.1072-6691https://hdl.handle.net/10877/7667In this article we prove the existence and uniqueness of solutions to the mixed problem associated with the nonlinear system utt − M (∫Ω |∇u|2 dx)∆u + |u|ρ u + θ = ƒ θt − ∆θ + ut = g where M is a positive real function, and ƒ and g are known real functions.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalMixed problemNonlinear systemWeak solutionsUniquenessArticle