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Archive for Rational Mechanics and Analysis

, Volume 91, Issue 3, pp 231–245 | Cite as

Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation

  • Fred B. Weissler
Article

Keywords

Differential Equation Neural Network Complex System Partial Differential Equation Ordinary Differential Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    P. Baras, Non-unicité des solutions d'une équation d'évolution non-linéaire, to appear.Google Scholar
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    H. Fujita, On the blowing up of solutions of the Cauchy problem for ut=Δu+u1+α, J. Fac. Sci. Univ. Tokyo, Sect. I 13 (1966), 109–124.Google Scholar
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    A. Haraux & F. B. Weissler, Non-uniqueness for a semilinear initial value problem, Ind. Univ. Math. J. 31 (1982), 167–189.Google Scholar
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    F. B. Weissler, Local existence and non-existence for semilinear parabolic equations in L p, Ind. Univ. Math. J. 29 (1980), 79–102.Google Scholar
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    F. B. Weissler, Rapidly decaying solutions of an ordinary differential equation, with applications to semilinear elliptic and parabolic partial differential equations, following in this issue.Google Scholar

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Fred B. Weissler
    • 1
  1. 1.Department of MathematicsThe Universit of TexasAustin

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