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A remark on the porous medium equation with nonlinear source

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Publication:419091
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DOI10.1016/j.aml.2011.09.077zbMath1377.76035OpenAlexW2026769676MaRDI QIDQ419091

Alkis S. Tersenov

Publication date: 18 May 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.09.077


zbMATH Keywords

a priori estimatesglobal solvabilityslow diffusion equation


Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05)


Related Items (1)

A condition guaranteeing the absence of the blow-up phenomenon for the generalized Burgers equation



Cites Work

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  • Some existence and nonexistence theorems for solutions of degenerate parabolic equations
  • Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
  • Global existence for nonlinear diffusion equations
  • Existence and nonexistence of global solutions for nonlinear parabolic equations
  • Stability and Wave Motion in Porous Media


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