%0 Generic %1 merle2022degenerate %A Merle, Frank %A Zaag, Hatem %D 2022 %K blowup heat %T On degenerate blow-up profiles for the subcritical semilinear heat equation %U http://arxiv.org/abs/2205.06795 %X We consider the semilinear heat equation with a superlinear power nonlinearity in the Sobolev subcritical range. We construct a solution which blows up in finite time only at the origin, with a completely new blow-up profile, which is cross-shaped. Our method is general and extends to the construction of other solutions blowing up only at the origin, with a large variety of blow-up profiles, degenerate or not.

@misc{merle2022degenerate, abstract = {We consider the semilinear heat equation with a superlinear power nonlinearity in the Sobolev subcritical range. We construct a solution which blows up in finite time only at the origin, with a completely new blow-up profile, which is cross-shaped. Our method is general and extends to the construction of other solutions blowing up only at the origin, with a large variety of blow-up profiles, degenerate or not.}, added-at = {2022-05-16T19:33:42.000+0200}, author = {Merle, Frank and Zaag, Hatem}, biburl = {https://www.bibsonomy.org/bibtex/2f4a8c2e1644b1f85b8a914b3718e4267/gzhou}, description = {On degenerate blow-up profiles for the subcritical semilinear heat equation}, interhash = {b72daac4a4e3fec8b4ed6fe66db7591c}, intrahash = {f4a8c2e1644b1f85b8a914b3718e4267}, keywords = {blowup heat}, note = {cite arxiv:2205.06795Comment: 61 pages}, timestamp = {2022-05-16T19:33:42.000+0200}, title = {On degenerate blow-up profiles for the subcritical semilinear heat equation}, url = {http://arxiv.org/abs/2205.06795}, year = 2022 }