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.
Weighted Strichartz estimates with angular regularity and their applications.Forum Math., 23(1):181–205, 2011
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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.