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math.AP2023
On the instability of threshold solutions of reaction-diffusion equations, and applications to optimization problems
Grégoire Nadin
The first part of this paper is devoted to the derivation of a technical result, related to the stability of the solution of a reaction-diffusion equation on $(0,…
math.AP2023
Gaussian estimates for general parabolic operators in dimension 1
Grégoire Nadin
We derive in this paper Gaussian estimates for a general parabolic equation over . Here and are only assumed to be bounded,…