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On an A Priori Estimate for Solutions of an Elliptic Equation
Author(s) -
Faierman M.
Publication year - 1994
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19941700105
Subject(s) - mathematics , a priori and a posteriori , discontinuity (linguistics) , weight function , a priori estimate , elliptic curve , mathematical analysis , function (biology) , boundary value problem , measure (data warehouse) , philosophy , epistemology , evolutionary biology , biology , database , computer science
In the investigation of the spectral theory of non‐selfadjoint elliptic boundary value problems involving an indefinite weight function, there arises the problem of obtaining L p a priori estimates for solutions about points of discontinuity of the weight function. Here we deal with this problem for the case where the weight function vanishes on a set of positive measure.