Quenching of solutions to a class of semilinear parabolic equations with boundary degeneracy

DOI10.1016/j.jmaa.2014.06.079zbMath1297.35117OpenAlexW2060252421MaRDI QIDQ401335

Mingjun Zhou, Chunpeng Wang, Yuan Yuan Nie

Publication date: 26 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.06.079

zbMATH Keywords

critical lengthset of quenching points

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Semilinear parabolic equations (35K58)

Related Items

Local null-controllability for some quasi-linear phase-field systems with Neumann boundary conditions by one control force ⋮ Quenching phenomenon for a non-Newtonian filtration equation with singular boundary flux ⋮ Unnamed Item ⋮ Singular solutions in nonlinear parabolic equations with anisotropic nonstandard growth conditions ⋮ Asymptotic property of singular solutions in some nonstandard parabolic equation ⋮ The high order augmented finite volume methods based on series expansion for nonlinear degenerate parabolic equations ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Pricing of Options and Corporate Liabilities
• Quenching for nonlinear degenerate parabolic problems
• On quenching for some parabolic problems
• A quenching phenomenon for one-dimensional \(p\)-Laplacian with singular boundary flux
• Infinite-time quenching in a fast diffusion equation with strong absorption
• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
• Quenching for a nonlinear diffusion equation with a singular boundary condition
• Quenching phenomena in strongly degenerate diffusion equations with strong absorption.
• Persistent regional null controllability for a class of degenerate parabolic equations
• Quenching, nonquenching, and beyond quenching for solution of some parabolic equations
• No quenching in infinite time for degenerate singular semilinear parabolic equations
• On quenching of solutions for some semilinear parabolic equations of second order
• Evolutionary weighted \(p\)-Laplacian with boundary degeneracy
• Null controllability of degenerate heat equations
• Carleman estimates for degenerate parabolic operators with applications to null controllability
• Carleman estimates for one-dimensional degenerate heat equations
• Asymptotic behavior of solutions to a class of semilinear parabolic equations with boundary degeneracy
• The Quenching of Solutions of Linear Parabolic and Hyperbolic Equations with Nonlinear Boundary Conditions
• Carleman Estimates for a Class of Degenerate Parabolic Operators
• Quenching for Semilinear Singular Parabolic Problems
• The Quenching of Solutions of Some Nonlinear Parabolic Equations
• Is quenching in infinite time possible?
• Quenching for degenerate parabolic equations
• Quenching for a degenerate parabolic problem due to a concentrated nonlinear source
• On the Blowup of u t at Quenching
• Quenching for degenerate semilinear parabolic equations