A Higher-Order Hardy-Type Inequality in Anisotropic Sobolev Spaces

A Higher-Order Hardy-Type Inequality in Anisotropic Sobolev Spaces

We prove a higher-order inequality of Hardy type for functions in anisotropic Sobolev spaces that vanish at the boundary of the space domain. This is an important calculus tool for the study of initial-boundary-value problems of symmetric hyperbolic systems with characteristic boundary.

Bibliographic Details
Main Author: Paolo Secchi
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2012/129691
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spelling doaj-14abad8ef2234b3980f07303ce5eaf182020-11-25T00:00:49ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512012-01-01201210.1155/2012/129691129691A Higher-Order Hardy-Type Inequality in Anisotropic Sobolev SpacesPaolo Secchi0Dipartimento di Matematica, Facoltà di Ingegneria, Università di Brescia, Via Valotti 9, 25133 Brescia, ItalyWe prove a higher-order inequality of Hardy type for functions in anisotropic Sobolev spaces that vanish at the boundary of the space domain. This is an important calculus tool for the study of initial-boundary-value problems of symmetric hyperbolic systems with characteristic boundary.http://dx.doi.org/10.1155/2012/129691
collection DOAJ
language English
format Article
sources DOAJ
author Paolo Secchi
spellingShingle Paolo Secchi
A Higher-Order Hardy-Type Inequality in Anisotropic Sobolev Spaces
International Journal of Differential Equations
author_facet Paolo Secchi
author_sort Paolo Secchi
title A Higher-Order Hardy-Type Inequality in Anisotropic Sobolev Spaces
title_short A Higher-Order Hardy-Type Inequality in Anisotropic Sobolev Spaces
title_full A Higher-Order Hardy-Type Inequality in Anisotropic Sobolev Spaces
title_fullStr A Higher-Order Hardy-Type Inequality in Anisotropic Sobolev Spaces
title_full_unstemmed A Higher-Order Hardy-Type Inequality in Anisotropic Sobolev Spaces
title_sort higher-order hardy-type inequality in anisotropic sobolev spaces
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9643
1687-9651
publishDate 2012-01-01
description We prove a higher-order inequality of Hardy type for functions in anisotropic Sobolev spaces that vanish at the boundary of the space domain. This is an important calculus tool for the study of initial-boundary-value problems of symmetric hyperbolic systems with characteristic boundary.
url http://dx.doi.org/10.1155/2012/129691
work_keys_str_mv AT paolosecchi ahigherorderhardytypeinequalityinanisotropicsobolevspaces
AT paolosecchi higherorderhardytypeinequalityinanisotropicsobolevspaces
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