Singular solutions of the heat equation with absorption

Kamin, S.; Peletier, L. A.

doi:10.1090/S0002-9939-1985-0801324-8

Singular solutions of the heat equation with absorption
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by S. Kamin and L. A. Peletier

Proc. Amer. Math. Soc. 95 (1985), 205-210

DOI: https://doi.org/10.1090/S0002-9939-1985-0801324-8

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Abstract:

In this paper we prove that the source-type solutions converge— when the total initial mass tends to infinity—to the very singular solution obtained in [3].

References

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Large time behavior of solutions of the heat equation with absorption

Quasilinear second order parabolic equations with many independent variables

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