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Book Review

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Book Information:

Authors: Panagiota Daskalopoulos and Carlos E. Kenig
Title: Degenerate diffusions
Additional book information: EMS Tracts in Mathematics 1, European Mathematical Society, Zurich, 2007, x+198 pp., ISBN 978-3-03719-033-36

References [Enhancements On Off] (What's this?)

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  • 2. D. G. Aronson and L. A. Caffarelli, The initial trace of a solution of the porous medium equation, Trans. Amer. Math. Soc., 280(1983), 351-366. MR 712265 (85c:35042)
  • 3. G. I. Barenblatt, On some unsteady motions of a liquid or a gas in a porous medium, Prikl. Mat. Mekh., 16(1952), 67-78 (in Russian). MR 0046217 (13:700a)
  • 4. P. Bénilan, M. G. Crandall and M. Pierre, Solutions of the porous medium equation in $ \mathbf{R}^{n}$ under optimal conditions on the initial values, Indiana Univ. Math. J., 33(1984), 51-87. MR 726106 (86b:35084)
  • 5. J. Boussinesq, Recherches théoriques sur l'écoulement des nappes d'eau infiltrés dans le sol et sur le débit de sources, C. R. Acad. Sci./J. Math. Pures Appl., 10(1903/04), 5-78.
  • 6. B. E. Dahlberg and C. E. Kenig, Non-negative solutions of the porous medium equation, Comm. Partial Differential Equations, 9(1984), 409-437. MR 741215 (85j:35099)
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  • 9. L. S. Leibenzon, The motion of a gas in a porous medium, Complete Works, Vol. 2, Acad. Sci. URSS, Moscow 1930 (in Russian).
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  • 14. Juan Luis Vazquez, The Porous Medium Equation. Mathematical theory, Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, Oxford, 2007. MR 2286292 (2008e:35003)
  • 15. D. V. Widder, Positive temperature on a infinite rod, Trans. Amer Math. Soc., 55(1944), 85-95. MR 0009795 (5:203f)

Review Information:

Reviewer: D. G. Aronson
Affiliation: School of Mathematics and Institute for Mathematics and Its Applications University of Minnesota
Journal: Bull. Amer. Math. Soc. 47 (2010), 171-176
MSC (2000): Primary 35-02, 35K55, 35K65
Published electronically: July 21, 2009
Review copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
American Mathematical Society