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One-dimensional problems with free boundaries in ecology

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Abstract

Statements of problems with free boundaries are given for nonlinear parabolic equations arising in ecology and medicine. Some constructive methods for their solution are considered.

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References

  1. N. A. Berezovs'kii and S. M. Doguchaeva, “Stefan problems in the problem of pollution and self-purification of the environment by a point source,” in: Nonlinear Boundary-Value Problems in Mathematical Physics and Their Applications [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1995), pp. 18–21.

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  2. M. A. Berezovs'kyi and F. Kh. Kudaeva, “One-dimensional problems with free boundary in cryomedicine,” in: Mathematical Methods in Scientific and Engineering Investigations [in Ukrainian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1996), pp. 23–30.

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Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 7, pp. 993–997, July, 1997.

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Berezovs'kyi, M.A. One-dimensional problems with free boundaries in ecology. Ukr Math J 49, 1114–1119 (1997). https://doi.org/10.1007/BF02528757

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  • DOI: https://doi.org/10.1007/BF02528757

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