Supersolutions and stabilization of the solutions of the equation: (∂u/∂t) − div(|∇u|p−2∇u)=f(x,u)

DOI10.1016/0362-546X(88)90086-7zbMath0702.35139OpenAlexW2271550719MaRDI QIDQ3480541

Abderrahmane El Hachimi, Francois de Thelin

Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(88)90086-7

zbMATH Keywords

existencenonlinear evolution equationsupersolutionsp-Laplacienregularizing estimates

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items

Periodic solutions to parabolic equation with singular \(p\)-Laplacian, A note on \(p\)-Laplacian parabolic problems in \(\mathbb R^n\), Semigroup approach to a doubly degenerate parabolic equation

Cites Work

• Uniqueness of very singular self-similar solution of a quasilinear degenerate parabolic equation with absorption
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