Geodesic
On stabilization of solutions of second-order semilinear parabolic equations on closed manifolds
Izvestiya. Mathematics , Tome 87 (2023) no. 4, pp. 817-834

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The paper is concerned with problems of existence, uniqueness, and stabilization of weak solutions of one class of semilinear second-order parabolic differential equations on closed manifolds. These equations are inhomogeneous analogues of the Kolmogorov–Petrovskii–Piskunov–Fisher equation, and have significant applied and mathematical value.
Keywords: the Kolmogorov–Petrovskii–Piskunov–Fisher equation, second-order parabolic equation, semilinear equation on manifold, weak solution, stabilization. 
@article{IM2_2023_87_4_a5,
     author = {D. V. Tunitsky},
     title = {On stabilization of solutions of second-order semilinear parabolic equations on closed manifolds},
     journal = {Izvestiya. Mathematics },
     pages = {817--834},
     publisher = {mathdoc},
     volume = {87},
     number = {4},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2023_87_4_a5/}
}
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D. V. Tunitsky. On stabilization of solutions of second-order semilinear parabolic equations on closed manifolds. Izvestiya. Mathematics , Tome 87 (2023) no. 4, pp. 817-834. http://geodesic.mathdoc.fr/item/IM2_2023_87_4_a5/