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arxiv: 0811.1784 · v1 · pith:2DSK7YDZnew · submitted 2008-11-11 · 🧮 math.AP · math.DS

On normal stability for nonlinear parabolic equations

classification 🧮 math.AP math.DS
keywords equationsequilibrianonlinearparabolicconvergenceevolutionfinite-dimensionalforms
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We show convergence of solutions to equilibria for quasilinear and fully nonlinear parabolic evolution equations in situations where the set of equilibria is non-discrete, but forms a finite-dimensional $C^1$-manifold which is normally stable.

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