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Un problème mixte non-linéaire parabolique provenant de la génétique des populations
[A nonlinear parabolic mixed problem arising in population genetics]
Norio Shimakura
Journées équations aux dérivées partielles (1988), article no. 12, 10 p.
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MR: 975501 | Zbl: 0683.35045
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@article{JEDP_1988____A12_0,
     author = {Norio Shimakura},
     title = {Un probl\`eme mixte non-lin\'eaire parabolique provenant de la g\'en\'etique des populations},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {12},
     publisher = {\'Ecole polytechnique},
     year = {1988},
     zbl = {0683.35045},
     mrnumber = {975501},
     language = {fr},
     url = {https://jedp.centre-mersenne.org/item/JEDP_1988____A12_0/}
}
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AU  - Norio Shimakura
TI  - Un problème mixte non-linéaire parabolique provenant de la génétique des populations
JO  - Journées équations aux dérivées partielles
PY  - 1988
PB  - École polytechnique
UR  - https://jedp.centre-mersenne.org/item/JEDP_1988____A12_0/
UR  - https://zbmath.org/?q=an%3A0683.35045
UR  - https://www.ams.org/mathscinet-getitem?mr=975501
LA  - fr
ID  - JEDP_1988____A12_0
ER  - 
%0 Journal Article
%A Norio Shimakura
%T Un problème mixte non-linéaire parabolique provenant de la génétique des populations
%J Journées équations aux dérivées partielles
%D 1988
%I École polytechnique
%G fr
%F JEDP_1988____A12_0
Norio Shimakura. Un problème mixte non-linéaire parabolique provenant de la génétique des populations. Journées équations aux dérivées partielles (1988), article  no. 12, 10 p. https://jedp.centre-mersenne.org/item/JEDP_1988____A12_0/
  • References
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[1] : Kimura M. - Diffusion model of intergroup selection, with special reference to evolution of an altruistic character. Proc. Nat. Acad. Sci. USA, 80 (1983), 6317 - 6321. | Zbl

[2] : Kimura M. - Evolution of an altruistic trait through group selection as studied by diffusion equation model. IMA J. Math. Applied to Medicine and Biology, 1 - 1 (1984), 1 - 15. | MR | Zbl

[3] : Kimura M. - Diffusion model of population genetics incorporating group selection, with special reference to an altruistic trait. 15-th Conf. Stoch. Proc. Appl., Nagoya, 1985, Lec. Note in Math., 1203 (1986), 101-118, Springer. | MR | Zbl

[4] : Ogura Y. - Shimakura N. - Stationary solutions and their stability for Kimura's diffusion model with intergroup selection. J. Math. Kyoto Univ., 27-2 (1987), 305-347. | MR | Zbl

[5] : Ogura Y. - Shimakura N. - Stationary solutions and their stability for Kimura's diffusion model with intergroup selection II, J. Math. Kyoto Univ., 27-4 (1987), 635-655. | MR | Zbl

[6] : Shiga T. - Existence and uniqueness of solutions for a class of non-linear diffusion equations. J. Math. Kyoto Univ., 27-2 (1987), 195-215. | MR | Zbl

[7] : Shimakura N. - Existence and uniqueness of solutions for a diffusion model of intergroup selection. J. Math. Kyoto Univ., 25-4 (1985), 775-788. | MR | Zbl

[8] : Widder D.V. - The Laplace transform. (1946), Princeton Univ. Press.

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