Type II blow-up mechanisms in a semilinear heat equation with Lepin exponent
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Publication:2333390
DOI10.1016/j.jde.2019.08.026zbMath1435.35201OpenAlexW2970534603MaRDI QIDQ2333390
Publication date: 13 November 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2019.08.026
Asymptotic expansions of solutions to PDEs (35C20) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)
Related Items (8)
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 ⋮ Global existence and blow-up of solutions for parabolic equations involving the Laplacian under nonlinear boundary conditions ⋮ Complex valued semi-linear heat equations in super-critical spaces \(E^s_\sigma\) ⋮ Existence of blowup solutions to the semilinear heat equation with double power nonlinearity ⋮ A type II blowup for the six dimensional energy critical heat equation ⋮ Type II blow-up for a semilinear heat equation with potential ⋮ Refined construction of type II blow-up solutions for semilinear heat equations with Joseph-Lundgren supercritical nonlinearity
Cites Work
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- An application of braid group theory to the finite time dead-core rate
- Morrey spaces and classification of global solutions for a supercritical semilinear heat equation in \(\mathbb{R}^n\)
- Nonradial type II blow-up for the energy-supercritical semilinear heat equation
- Dynamics near the ground state for the energy critical nonlinear heat equation in large dimensions
- Threshold and generic type I behaviors for a supercritical nonlinear heat equation
- Nonexistence of type II blowup solution for a semilinear heat equation
- Finite time dead-core rate for the heat equation with a strong absorption
- A fast blowup solution to an elliptic-parabolic system related to chemotaxis
- Classification of type I and type II behaviors for a supercritical nonlinear heat equation
- Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
- Asymptotic behavior of positive solutions of equation \(\Delta{} u+K(x)u^ p=0\) in \(\mathbb{R}{}^ n\)
- Excluding blowup at zero points of the potential by means of Liouville-type theorems
- Type II blow-up mechanisms in a semilinear heat equation with critical Joseph-Lundgren exponent
- Type II blow-up for the four dimensional energy critical semi linear heat equation
- Threshold and strong threshold solutions of a semilinear parabolic equation
- Blow-up behaviour of one-dimensional semilinear parabolic equations
- Non self-similar blow-up solutions to the heat equation with nonlinear boundary conditions
- Boundedness of global solutions of a supercritical parabolic equation
- Singularity patterns in a chemotaxis model
- Fast blow-up mechanisms for sign-changing solutions of a semilinear parabolic equation with critical nonlinearity
- ON EXACT DEAD-CORE RATES FOR A SEMILINEAR HEAT EQUATION WITH STRONG ABSORPTION
- Blow-up rate of type II and the braid group theory
- On the Melting of Ice Balls
- Refined asymptotics for the blowup of ut — δu = up
- A Simplified Approach to the Refined Blowup Behavior for the Nonlinear Heat Equation
- On Nonexistence of type II blowup for a supercritical nonlinear heat equation
- Blow up rate for semilinear heat equations with subcritical nonlinearity
- Type II Blow-up Mechanism for Supercritical Harmonic Map Heat Flow
- An Analytic Framework for the Supercritical Lane-Emden Equation and its Gradient Flow
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