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.
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. 
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     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},
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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/

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