ON THE INTRINSIC ULTRACONTRACTIVITY FOR COMPACT MANIFOLDS WITH BOUNDARY

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概要

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• 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 $ L^p $-Sobolev ($ p \geqq 1 $).

• Faculty of Mathematics, Kyushu Universityの論文

著者

• Kumura Hironori

  Department Of Mathematics Faculty Of Science Osaka University

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• ON THE INTRINSIC ULTRACONTRACTIVITY FOR COMPACT MANIFOLDS WITH BOUNDARY

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