Green's function and infinite-time bubbling in the critical nonlinear heat equation

DOI10.4171/JEMS/922zbMath1432.35121arXiv1604.07117OpenAlexW2963853402MaRDI QIDQ2302427

Monica Musso, Carmen Cortázar, Manuel A. del Pino

Publication date: 26 February 2020

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07117

zbMATH Keywords

Green's functioncritical exponentinfinite-time blow-up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Critical exponents in context of PDEs (35B33) Fundamental solutions to PDEs (35A08) Blow-up in context of PDEs (35B44) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items (28)

Blowup solutions for the nonlocal shadow limit model of a singular Gierer-Meinhardt system with critical parameters ⋮ Construction of Multibubble Solutions for the Critical GKDV Equation ⋮ 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 ⋮ Bubbling and extinction for some fast diffusion equations in bounded domains ⋮ 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 ⋮ Extinction behavior for the fast diffusion equations with critical exponent and Dirichlet boundary conditions ⋮ Existence of blowup solutions to the semilinear heat equation with double power nonlinearity ⋮ Singularity formation in the harmonic map flow with free boundary ⋮ Nematic liquid crystal flow with partially free boundary ⋮ The Cauchy-Dirichlet problem for the fast diffusion equation on bounded domains ⋮ Decay rates for the 4D energy‐critical nonlinear heat equation ⋮ Global, decaying solutions of a focusing energy-critical heat equation in \(\mathbb{R}^4\) ⋮ Bubbling Blow-Up in Critical Parabolic Problems ⋮ Solutions with single radial interface of the generalized Cahn-Hilliard flow ⋮ Geometry driven type II higher dimensional blow-up for the critical heat equation ⋮ Finite time blow-up for the fractional critical heat equation in \(\mathbb{R}^n\) ⋮ Infinite time blow-up for critical heat equation with drift terms ⋮ A type II blowup for the six dimensional energy critical heat equation ⋮ Singularity formation for the two-dimensional harmonic map flow into \(S^2\) ⋮ Strongly anisotropic type II blow up at an isolated point ⋮ A higher speed type II blowup for the five dimensional energy critical heat equation ⋮ Type II finite time blow-up for the energy critical heat equation in \(\mathbb{R}^4\) ⋮ Type II blow-up in the 5-dimensional energy critical heat equation ⋮ Infinite time blow-up for the fractional heat equation with critical exponent ⋮ Sign-changing blowing-up solutions for the critical nonlinear heat equation ⋮ Separation for the stationary Prandtl equation

This page was built for publication: Green's function and infinite-time bubbling in the critical nonlinear heat equation