The global solution of a diffusion equation with nonlinear gradient term
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Publication:2636683
DOI10.1186/1029-242X-2013-125zbMath1282.35209OpenAlexW2143386815WikidataQ59301745 ScholiaQ59301745MaRDI QIDQ2636683
Publication date: 31 January 2014
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1029-242x-2013-125
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Viscosity solutions to PDEs (35D40) Quasilinear parabolic equations (35K59)
Related Items (2)
Qualitative properties of weak solutions for $p$-Laplacian equations with nonlocal source and gradient absorption ⋮ The boundary value condition of an evolutionary \(p(x)\)-Laplacian equation
Cites Work
- Hölder estimates for quasilinear doubly degenerate parabolic equations
- Global solutions and self-similar solutions of semilinear parabolic equations with nonlinear gradient terms
- Large-time geometric properties of solutions of the evolution \(p\)-Laplacian equation
- Global existence for some slightly super-linear parabolic equations with measure data
- The asymptotic behavior of solutions for a class of doubly degenerate nonlinear parabolic equations
- \(L^ p\)-estimates of solutions of some nonlinear degenerate diffusion equations
- Nonuniqueness of solutions of a degenerate parabolic equation
- A degenerate diffusion problem not in divergence form
- A degenerate parabolic equation modelling the spread of an epidemic
- Homogeneous diffusion in \({\mathbb{R}}\) with power-like nonlinear diffusivity
- Null controllability for a semilinear parabolic equation with gradient quadratic growth
- Extinction and positivity for a doubly nonlinear degenerate parabolic equation
- Uniqueness of the solutions of ut−Δϕ(u) = 0 with initial datum a measure
- L∞-estimates of solutions of some nonlinear degenerate parabolic equations
- Large time behavior of solutions to degenerate parabolic equations with absorption
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