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On solutions to the initial-boundary problem for perturbed porous medium equation

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Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 964))

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References

  1. N.D. Alikakos, LP-bounds of solutions of reaction diffusion equations, Comm. P.D.E. 4(8) (1979), 827–868.

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  2. D.G. Aronson & L.A. Peletier, Large time behavior of solutions of the porous medium equation in bounded domains, J. Diff. Eqs. 39 (1981), 378–412.

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  3. H. Fujita, On some nonexistence and nonuniqueness theorems for nonlinear parabolic equations, Proc. Symp. in Pure Math. 18, Amer. Math. Soc., Providence, R.I. (1970), 105–113.

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  4. M. Nakao, On solutions to the initial-boundary value problem for ∂ / ∂t u-Δβ(u)=f, to appear in J. Math. Soc. Japan.

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  5. D.H. Stattinger, On global solution of nonlinear hyperbolic equations, Arch. Rat. Mech. Anal. 30 (1968), 148–172.

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Authors
  1. Mitsuhiro Nakao
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W.N. Everitt B.D. Sleeman

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© 1982 Springer-Verlag

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Nakao, M. (1982). On solutions to the initial-boundary problem for perturbed porous medium equation. In: Everitt, W., Sleeman, B. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 964. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065024

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  • DOI: https://doi.org/10.1007/BFb0065024

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11968-5

  • Online ISBN: 978-3-540-39561-4

  • eBook Packages: Springer Book Archive

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