A higher speed type II blowup for the five dimensional energy critical heat equation

DOI10.1016/j.anihpc.2019.09.006zbMath1433.35007arXiv1906.03976OpenAlexW2990013777MaRDI QIDQ2305818

Junichi Harada

Publication date: 20 March 2020

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.03976

zbMATH Keywords

semilinear heat equationmatched asymptotic expansionenergy criticalblowup ratetype II blowup

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (11)

The blow-up rate for a non-scaling invariant semilinear heat equation ⋮ Blowup solutions for the nonlocal shadow limit model of a singular Gierer-Meinhardt system with critical parameters ⋮ Bubble towers in the ancient solution of energy-critical heat equation ⋮ Construction of multi-bubble solutions for the energy-critical wave equation in dimension 5 ⋮ Construction of blow-up solution for 5-dimensional critical Fujita-type equation with different blow-up speed ⋮ Infinite-time blowing-up solutions to small perturbations of the Yamabe flow ⋮ Existence of blowup solutions to the semilinear heat equation with double power nonlinearity ⋮ Decay rates for the 4D energy‐critical nonlinear heat equation ⋮ Optimal Liouville theorems for superlinear parabolic problems ⋮ A type II blowup for the six dimensional energy critical heat equation ⋮ Refined construction of type II blow-up solutions for semilinear heat equations with Joseph-Lundgren supercritical nonlinearity

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