Estimates of weighted Hölder norms of the solutions to a parabolic boundary value problem in an initially degenerate domain
Fasano, Antonio ; Solonnikov, Vsevolod
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 13 (2002), p. 23-41 / Harvested from Biblioteca Digitale Italiana di Matematica
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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.

Si ottengono stime a priori in opportune norme di H¨older con peso per le soluzioni di un problema unidimensionale per l’equazione del calore in un dominio mobile che degenera per t = 0 e con una condizione al contorno in cui compaiono simultaneamente le due derivate prime della funzione incognita.

Publié le : 2002-03-01
@article{RLIN_2002_9_13_1_23_0,
     author = {Antonio Fasano and Vsevolod Solonnikov},
     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. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {13},
     year = {2002},
     pages = {23-41},
     zbl = {1221.35185},
     mrnumber = {1949146},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_2002_9_13_1_23_0}
}

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. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 13 (2002) pp. 23-41. http://gdmltest.u-ga.fr/item/RLIN_2002_9_13_1_23_0/

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