On Precise Center Stable Manifold Theorems for Certain Reaction-diffusion and Klein-gordon Equations
نویسنده
چکیده
We consider positive, radial and exponentially decaying steady state solutions of the general reaction-diffusion and Klein-Gordon type equations and present an explicit construction of infinite-dimensional invariant manifolds in the vicinity of these solutions. The result is a precise stable manifold theorem for the reaction-diffusion equation and a precise center-stable manifold theorem for the Klein-Gordon equation, which include the co-dimension of the manifolds and the decay rates for even perturbations.
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