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math.AP2022
Norm inflation for the cubic nonlinear heat equation above the scaling critical regularity
Ilya Chevyrev, Tadahiro Oh, Yuzhao Wang
We consider the ill-posedness issue for the cubic nonlinear heat equation and prove norm inflation with infinite loss of regularity in the Hölder-Besov space $\mathcal C^s = B^{s}_…
math.AP2022★ 8 cited
Norm inflation for a non-linear heat equation with Gaussian initial conditions
Ilya Chevyrev
We consider a non-linear heat equation posed on the -dimensional torus, where is a polynomial of degree at most and is a bilinear…