Type II blow-up for a semilinear heat equation with potential

DOI10.1007/s00605-021-01568-yzbMath1469.35059OpenAlexW3168530048MaRDI QIDQ2041670

Yu-Xuan Wang, Ruo-Yi Wang, Gao-Feng Zheng, Gui-Chun Jiang

Publication date: 23 July 2021

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-021-01568-y

zbMATH Keywords

semilinear heat equationtype II blowupnon-collapsing blow-upquasi-monotonicity formula

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Cites Work

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• A quasi-monotonicity formula and partial regularity for borderline solutions to a parabolic equation
• Classification of type I and type II behaviors for a supercritical nonlinear heat equation
• Energy non-collapsing and refined blowup for a semilinear heat equation
• Type II blow-up mechanisms in a semilinear heat equation with critical Joseph-Lundgren exponent
• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• Type II blow-up for the four dimensional energy critical semi linear heat equation
• A type II blowup for the six dimensional energy critical heat equation
• Infinite-time blow-up for the 3-dimensional energy-critical heat equation
• Type II blow-up in the 5-dimensional energy critical heat equation
• Type II blow-up mechanisms in a semilinear heat equation with Lepin exponent
• Some blow-up problems for a semilinear parabolic equation with a potential
• Type-II blowup for a semilinear heat equation
• Quasilinear Dirichlet problems driven by positive sources
• Nondegeneracy of blowup for semilinear heat equations
• An L^∞ blow‐up estimate for a nonlinear heat equation
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
• Blow up rate for semilinear heat equations with subcritical nonlinearity
• On the growth of solutions of quasi‐linear parabolic equations
• On the uniqueness and non‐uniqueness of solutions of initial value problems for some quasi‐linear parabolic equations

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