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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 1
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Original Articles

The porous medium equation with a concentrated nonlinear source

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Pages 141-156 | Received 20 Apr 2010, Accepted 15 Nov 2010, Published online: 16 Feb 2011

References

  • Boccardo , L and Gallouet , T . 1989 . Nonlinear elliptic and parabolic equations involving measure data . J. Func. Anal. , 87 : 149 – 169 .
  • Dall'Aglio , A and Orsina , L . 1992 . Existence results for some nonlinear parabolic equations with nonregular data . Differ. Integral Eqns. , 5 ( 6 ) : 1335 – 1354 .
  • Yuan , H and Wu , G . 2005 . Quasilinear degenerate parabolic equation with Dirac measure as sources . Northeast. Math. J. , 26A ( 4 ) : 515 – 526 .
  • Chadam , JM and Yin , HM . 1993 . A diffusion equation with localized chemical reactions . Proc. Edin. Math. Soc. , 37 : 101 – 118 .
  • Chan , CY and Tian , HY . 2004 . Multi-dimensional explosion due to a concentrated nonlinear source . J. Math. Anal. Appl. , 295 : 174 – 190 .
  • Chan , CY and Tian , HY . 2006 . A criterion for a multi-dimensional explosion due to a concentrated nonlinear source . Appl. Math. Lett. , 19 : 298 – 302 .
  • Chan , CY and Tragoonsirisak , P . 2008 . A multi-dimensional quenching problem due to a concentrated nonlinear source in ℝ N . Nonlinear Anal. TMA , 69 : 1494 – 1514 .
  • DiBenedetto , E . 1993 . Degenerate Parabolic Equations , New York : Springer-Verlag .
  • Dong , G . 1988 . Nonlinear Partial Differential Equations of Second Order , Beijing : Tsinghua University Press .

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