Asymptotic estimates of weak solutions for a parabolic \(p(x)\)-Laplace equation with variable exponents and absorption

DOI10.1007/S13324-022-00659-9zbMath1490.35218OpenAlexW4214914406MaRDI QIDQ2116779

Ke Li, Fengjie Li, Bingchen Liu

Publication date: 18 March 2022

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-022-00659-9

zbMATH Keywords

global existenceblow-up timenonlocal sourceextinction rateparabolic \(p(x)\)-Laplace equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Singular parabolic equations (35K67) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Cites Work

• Finite-time blow-up and extinction rates of solutions to an initial Neumann problem involving the \(p(x,t)\)-Laplace operator and a non-local term
• Lebesgue and Sobolev spaces with variable exponents
• On stationary thermo-rheological viscous flows
• Saddle points and instability of nonlinear hyperbolic equations
• Classification of certain qualitative properties of solutions for the quasilinear parabolic equations
• Regularity results for stationary electro-rheological fluids
• Uniqueness and comparison theorems for solutions of doubly nonlinear parabolic equations with nonstandard growth conditions
• Upper bound estimate for the blow-up time of an evolution \(m\)-Laplace equation involving variable source and positive initial energy
• Asymptotic property of singular solutions in some nonstandard parabolic equation
• Potential well method for \(p ( x )\)-Laplacian equations with variable exponent sources
• Anisotropic parabolic equations with variable nonlinearity
• Stability of nonlinear hyperbolic equations
• Existence and nonexistence of global solutions for doubly nonlinear diffusion equations with logarithmic nonlinearity
• Evolution PDEs with Nonstandard Growth Conditions
• Variable Exponent, Linear Growth Functionals in Image Restoration

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