Geodesic
Estimates of weighted Hölder norms of the solutions to a parabolic boundary value problem in an initially degenerate domain
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 13 (2002) no. 1, pp. 23-41

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

A-priori estimates in weighted Hölder norms are obtained for the solutions of a one- dimensional boundary value problem for the heat equation in a domain degenerating at time t = 0 and with boundary data involving simultaneously the first order time derivative and the spatial gradient. 
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     author = {Fasano, Antonio and Solonnikov, Vsevolod},
     title = {Estimates of weighted {H\"older} norms of the solutions to a parabolic boundary value problem in an initially degenerate domain},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {23--41},
     publisher = {mathdoc},
     volume = {Ser. 9, 13},
     number = {1},
     year = {2002},
     zbl = {1221.35185},
     mrnumber = {MR1949146},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2002_9_13_1_a2/}
}
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Fasano, Antonio; Solonnikov, Vsevolod. Estimates of weighted Hölder norms of the solutions to a parabolic boundary value problem in an initially degenerate domain. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 13 (2002) no. 1, pp. 23-41. http://geodesic.mathdoc.fr/item/RLIN_2002_9_13_1_a2/