The attractor of the scalar reaction diffusion equation is a smooth graph |
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| Authors: | Pavol Brunovský |
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| Institution: | (1) Institute of Applied Mathematics, Comenius University, Mlynská dolina, 842 15 Bratislava, Czechoslovakia |
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| Abstract: | For the scalar reaction diffusion equation with Dirichlet boundary conditions, it is proved that its maximal compact attractor is the graph of a C1 function from a subset with nonempty interior of a subspace of the state space the dimension of which is equal to the maximal Morse index of the equilibria of the equation. |
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| Keywords: | Attractor inertial manifold zero number reaction diffusion equation |
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