Geodesic
Periodic solutions of parabolic equations with homogeneus bondary Dirichlet conditions time depent coefficients and discontinuous nonlinearity
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 13 (2011), pp. 20-26

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The theorem of existence strong periodic solution of parabolic equations with discontinuous unbounded nonlinearity that in accord with homogeneus boundary Dirichlet conditions prove with topological method. Here coefficients of the linear part of the equation are time dependent.
Keywords: periodic solution, resonance problem, discontinuous nonlinearity.
Mots-clés : parabolic equations 
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     author = {V. N. Pavlenko and D. Y. Medvedev},
     title = {Periodic solutions of parabolic equations with homogeneus bondary {Dirichlet} conditions time depent coefficients and discontinuous nonlinearity},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {20--26},
     publisher = {mathdoc},
     number = {13},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2011_13_a1/}
}
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V. N. Pavlenko; D. Y. Medvedev. Periodic solutions of parabolic equations with homogeneus bondary Dirichlet conditions time depent coefficients and discontinuous nonlinearity. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 13 (2011), pp. 20-26. http://geodesic.mathdoc.fr/item/VCHGU_2011_13_a1/