A-priori estimates in weighted Ho ̈lder 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.
Estimates of weighted Hölder norms of the solutions to a parabolic boundary value problem in an initially degenerate domain / A. FASANO; V.A. SOLONNIKOV. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - STAMPA. - 13:(2002), pp. 23-41.
Estimates of weighted Hölder norms of the solutions to a parabolic boundary value problem in an initially degenerate domain
FASANO, ANTONIO;
2002
Abstract
A-priori estimates in weighted Ho ̈lder 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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