We study the behaviour of the Green function of the heat problem in a dihedral angle with oblique (or Neumann) conditions on the faces. The uniform estimates obtained for the Green function and its derivatives show, in particular, the exponential decay at infinity, as in the parabolic problems in regular domains.
The exponential behaviour of the Green function in a dihedral angle / M. G., Garroni; V. A., Solonnikov; Vivaldi, Maria Agostina. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - STAMPA. - 3:4(2001), pp. 571-592. [10.1142/S0219199701000500]
The exponential behaviour of the Green function in a dihedral angle
VIVALDI, Maria Agostina
2001
Abstract
We study the behaviour of the Green function of the heat problem in a dihedral angle with oblique (or Neumann) conditions on the faces. The uniform estimates obtained for the Green function and its derivatives show, in particular, the exponential decay at infinity, as in the parabolic problems in regular domains.File allegati a questo prodotto
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