Blow-up analysis for a reaction-diffusion equation with gradient absorption terms

DOI10.3934/MATH.2021800OpenAlexW3203570893MaRDI QIDQ2142947

Mengyang Liang, Su-Cheol Yi, Zhong Bo Fang

Publication date: 30 May 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021800

zbMATH Keywords

reaction-diffusion equationnonlinear boundary fluxbounds for blow-up timegradient absorption term

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Partial differential inequalities and systems of partial differential inequalities (35R45) Quasilinear parabolic equations (35K59)

Cites Work

• Unnamed Item
• Unnamed Item
• Blow-up analysis for a reaction-diffusion equation with weighted nonlocal inner absorptions under nonlinear boundary flux
• Lower bounds for the blow-up time in the higher-dimensional nonlinear divergence form parabolic equations
• Lower bounds for blow-up time in a parabolic problem with a gradient term under various boundary conditions
• Blow-up phenomena for a parabolic problem with a gradient nonlinearity under nonlinear boundary conditions
• Blow-up theories for semilinear parabolic equations
• Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition. I.
• Global existence and blow-up phenomena for nonlinear divergence form parabolic equations with inhomogeneous Neumann boundary conditions
• Blow-up analysis for a semilinear parabolic equation with time-dependent coefficients under nonlinear boundary flux
• Blow-up time estimate for a degenerate diffusion equation with gradient absorption
• Lower bounds for blow-up time in a nonlinear parabolic problem
• Functional analysis, Sobolev spaces and partial differential equations
• Blow up results and localization of blow up points for the heat equation with a nonlinear boundary condition
• Diffusivity versus absorption through the boundary
• The Cauchy problem for \(u_{t}=\Delta u+| \nabla u|^q\)
• The local theory for viscous Hamilton--Jacobi equations in Lebesgue spaces.
• Blow-up phenomena for a parabolic system with gradient nonlinearity under nonlinear boundary conditions
• Optimization problems for elastic contact models with unilateral constraints
• Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time
• Nonexistence of global weak solutions to some properly and improperly posed problems of mathematical physics: The method of unbounded Fourier coefficients
• Gradient blow-up for multidimensional nonlinear parabolic equations with general boundary conditions
• Blow up of positive solutions for a family of nonlinear parabolic equations in general domain in \(\mathbb{R}^N\)
• The twisted Daehee numbers and polynomials
• Bounds for blow-up time of a reaction-diffusion equation with weighted gradient nonlinearity
• Blow-up phenomena for a semilinear parabolic equation with weighted inner absorption under nonlinear boundary flux
• The Role of Critical Exponents in Blowup Theorems
• Bounds for blow-up time for the heat equation under nonlinear boundary conditions
• Nonlinear balance for reaction-diffusion equations under nonlinear boundary conditions: Dissipativity and blow-up

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