Gradient blowup rate for a heat equation with general gradient nonlinearity

DOI10.1080/00036811.2015.1068296zbMath1370.35172OpenAlexW2321454815MaRDI QIDQ2825326

Zhengce Zhang, Yan Li, Xin Tong, Ruofei Yao

Publication date: 7 October 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1068296

zbMATH Keywords

rescaling methodcomparison methodgradient blowup

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55)

Related Items (1)

Gradient blow-up rates and sharp gradient estimates for diffusive Hamilton-Jacobi equations

Cites Work

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• Global existence and gradient blowup of solutions for a semilinear parabolic equation with exponential source
• Single-point gradient blow-up on the boundary for diffusive Hamilton-Jacobi equations in planar domains
• Blowup rate estimates for the heat equation with a nonlinear gradient source term
• Rate estimates of gradient blowup for a heat equation with exponential nonlinearity
• Gradient blowup solutions of a semilinear parabolic equation with exponential source
• A note on gradient blowup rate of an inhomogeneous Hamilton-Jacobi equation
• Convergence to a singular steady state of a parabolic equation with gradient blow-up
• Global solutions of inhomogeneous Hamilton-Jacobi equations
• Blow up for a diffusion-advection equation

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