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Rapidly decaying solutions of an ordinary differential equation with applications to semilinear elliptic and parabolic partial differential equations

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References

  1. H. Brezis, L. A. Peletier, & D. Terman, A very singular solution of the heat equation with absorption, to appear.

  2. M. Escobedo & O. Kavian, Variational Problems related to self-similar solutions of the heat equation, to appear.

  3. W. G. Faris, Self-adjoint Operators, Lecture Notes in Mathematics 433, Springer-Verlag, New York 1975.

    Google Scholar 

  4. A. Haraux & F. B. Weissler, Non-uniqueness for a semilinear initial value problem, Ind. Univ. Math. Jnl. 31 (1982), 167–189.

    Google Scholar 

  5. J. C. Kurtz, Weighted Sobolev spaces with applications to singular nonlinear boundary value problems, Jnl. of Diff. Eqns. 49 (1983), 105–123.

    Google Scholar 

  6. L. A. Peletier, D. Terman, & F. B. Weissler, On the equation Δu + 1/2 × ° ▽u + f(u) =0, to appear.

  7. P. H. Rabinowitz, Some aspects of critical point theory, MRC Technical Summary Report #2465, 1983.

  8. F. B. Weissler, Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation, preceding in this issue.

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Communicated by C. M. Dafermos

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Weissler, F.B. Rapidly decaying solutions of an ordinary differential equation with applications to semilinear elliptic and parabolic partial differential equations. Arch. Rational Mech. Anal. 91, 247–266 (1986). https://doi.org/10.1007/BF00250744

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