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A fast diffusion equation which generates a monotone local semiflow. I: Local existence and uniqueness

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Publication:807850
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zbMath0731.35059MaRDI QIDQ807850

Peter Takáč

Publication date: 1991

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

uniquenesswell-posednessfast diffusionlocal-in-time existence


Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Gas dynamics (general theory) (76N15) Degenerate parabolic equations (35K65)


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Convergence to a traveling wave in the lgarithmic diffusion equation with a bistable nonlinearity, Spreading and Extinction of Solutions to the Logarithmic Diffusion Equation with a Logistic Reaction, Remarks on a singular diffusion equation, Existence theorems for fast diffusion equations, Asymptotic behavior of solutions to the logarithmic diffusion equation with a linear source, On a nonlinear singular diffusion problem: convergence to a traveling wave



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