A Priori Bounds for a Class of Elliptic Operators | Zendy

Sara Monsurrò | Zendy; Maria Salvato | Zendy; Maria Transirico | Zendy

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A Priori Bounds for a Class of Elliptic Operators

Author(s) -

Sara Monsurrò,

Maria Salvato,

Maria Transirico

Publication year - 2011

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 - 10.1155/2011/572824

Subject(s) - mathematics , sobolev space , uniqueness , a priori and a posteriori , class (philosophy) , dirichlet problem , pure mathematics , order (exchange) , dirichlet distribution , elliptic operator , differential operator , mathematical analysis , finance , artificial intelligence , philosophy , epistemology , computer science , economics , boundary value problem

We obtain some 2,2 a prioribounds for a class of uniformly elliptic second-order differentialoperators, both in a no-weighted and in a weighted case. We deducea uniqueness and existence theorem for the related Dirichletproblem in some weighted Sobolev spaces on unbounded domains

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