Extremal equilibria and asymptotic behavior of parabolic nonlinear reaction-diffusion equations

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The authors find a growth condition on the nonlinear term f(x, u) of a nonlinear heat equation which ensures the existence of maximal and minimal equilibria that bound asymptotically all solutions to that nonlinear heat equation.
Conference on Nonlinear Elliptic and Parabolic Problems. Zurich, SWITZERLAND. JUN 28-30, 2004.
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