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

Paolo Secchi | Zendy

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

Author(s) -

Paolo Secchi

Publication year - 2012

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2012/129691

Subject(s) - mathematics , sobolev space , mathematical analysis , boundary (topology) , hardy space , domain (mathematical analysis) , type (biology) , order (exchange) , sobolev inequality , pure mathematics , space (punctuation) , inequality , boundary value problem , ecology , linguistics , philosophy , finance , economics , biology

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

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