Study of the solutions to a model porous medium equation with variable exponent of nonlinearity
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Publication:2481821
DOI10.1016/j.jmaa.2007.11.046zbMath1140.35497OpenAlexW2087255178MaRDI QIDQ2481821
Chunling Cao, Hongjun Yuan, Song Zhe Lian, Wen-jie Gao
Publication date: 15 April 2008
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.2007.11.046
Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
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Cites Work
- A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
- Regularity results for parabolic systems related to a class of non-Newtonian fluids.
- Theory of extended solutions for fast-diffusion equations in optimal classes of data. Radiation from singularities
- Regularity results for stationary electro-rheological fluids
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- The Initial Trace of a Solution of the Porous Medium Equation
- Non-negative solutions of theo porous medium eqation
- Intrinsic scaling for PDEs with an exponential nonlinearity
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