A Simplified Approach to the Refined Blowup Behavior for the Nonlinear Heat Equation

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On refined blowup estimates for the exponential reaction-diffusion equation, Gradient blowup profile for the semilinear heat equation, Classification of blow-ups and monotonicity formula for half-Laplacian nonlinear heat equation, Type II blow-up mechanisms in a semilinear heat equation with Lepin exponent

Cites Work

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Threshold and generic type I behaviors for a supercritical nonlinear heat equation
Nonexistence of type II blowup solution for a semilinear heat equation
Stability of the blow-up profile for equations of the type \(u_ t=\Delta u+| u| ^{p-1}u\)
On the blowup of multidimensional semilinear heat equations
Nonexistence of backward self-similar blowup solutions to a supercritical semilinear heat equation
Single point blow-up for a semilinear initial value problem
Classification of type I and type II behaviors for a supercritical nonlinear heat equation
Flat blow-up in one-dimensional semilinear heat equations
Blow-up results for vector-valued nonlinear heat equations with no gradient structure
Refined uniform estimates at blow-up and applications for nonlinear heat equations
Blow-up behavior for semilinear heat equations: Multi-dimensional case
Stability of the blow-up profile of nonlinear heat equations from the dynamical system point of view
Unstable blow-up patterns
Blow-up behaviour of one-dimensional semilinear parabolic equations
Boundedness of global solutions of a supercritical parabolic equation
Determination of the curvature of the blow-up set and refined singular behavior for a semilinear heat equation
Type-II blowup for a semilinear heat equation
Nondegeneracy of blowup for semilinear heat equations
On backward self-similar blow-up solutions to a supercritical semilinear heat equation
Asymptotically self‐similar blow‐up of semilinear heat equations
An L^∞ blow‐up estimate for a nonlinear heat equation
Blow–Up Profiles in One–Dimensional. Semilinear Parabolic Problems
Final Time Blowup Profiles for Semilinear Parabolic Equations via Center Manifold Theory
Higher Dimensional Blow Up for Semilinear Parabolic Equations
Refined asymptotics for the blowup of u_t — δu = u^p
Classification of Singularities for Blowing up Solutions in Higher Dimensions
On Nonexistence of type II blowup for a supercritical nonlinear heat equation
Universality in blow-up for nonlinear heat equations
Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part II: Parabolic equations