On a semilinear diffusion equation on a Riemannian manifold and its stable equilibrium solutions

Shuichi Jimbo · Proceedings of the Japan Academy Series A Mathematical Sciences · 1984

1o Introduction.Let (M, g) be a connected orientable compact C Riemannian manifold with (pssibly empty) smooth boundary 3M.We consider the following semilinear diffusion equation and its equilibrium solutions.

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