A self-similar blowup profile for the focusing semilinear heat equation with defocusing Hénon nonlinearity is stable under small non-radial perturbations in 3D for coupling constants below a critical value.
Optimal well-posedness and forward self- similar solution for the Hardy-Hénon parabolic equation in critical weighted Lebesgue spaces.Non- linear Anal., 222:Paper No
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Stable blowup profile for a semilinear Heat Equation with spatially inhomogeneous nonlinearity
A self-similar blowup profile for the focusing semilinear heat equation with defocusing Hénon nonlinearity is stable under small non-radial perturbations in 3D for coupling constants below a critical value.