Global attractor for a quasilinear parabolic equation of mean curvature type
by Mitsuhiro Nakao, Naimah Aris
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 1, No. 1, 2007

Abstract: We prove the existence and some properties of global attractor in L^q with q > N and q ≥ 2 for the quasilinear parabolic equation u_t – div(σ('∇u'²)∇u) + λu + g(x, u) = f(x) in a bounded domain in R^N where λ > 0 and σ (ν²) is a function like σ (ν²) = 1/√1 + ν². The problem in R^N is also considered.

Online publication date: Wed, 23-May-2007

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