On certain generalized Hardy's inequalities and applications

Details On certain generalized Hardy's inequalities and applications On certain generalized Hardy's inequalities and applications

2002-03-10

arxiv.org/abs/math/0203092v2

Mathematics

Analysis of PDEs

32 pages

Scientific paper

We prove certain generalization of Hardy's inequality where the "boundary
defining function" is replaced by a polynomial defining a singular algebraic
variety. An application is given on the existence of a small time heat trace
expansion for a Schr\"odinger operator with mild singularities along this
algebraic set.

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