ON THE INTRINSIC ULTRACONTRACTIVITY FOR COMPACT MANIFOLDS WITH BOUNDARY
2003 年 57 巻 1 号 p. 29-50
詳細
2003 年 57 巻 1 号 p. 29-50
We shall prove intrinsic ultracontractive bounds for compact manifolds with boundary, using their inner geometric properties, by the arguments of Davies and Simon 1984. In order to do so, we shall prepair two inequalities, Hardy and Lp-Sobolev (p ≥ 1).
