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L q ‐solution of the Neumann, Robin and transmission problem for the scalar Oseen equation
Author(s) -
Medková Dagmar
Publication year - 2018
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.201600307
Subject(s) - mathematics , scalar (mathematics) , von neumann architecture , jump , mathematical analysis , pure mathematics , geometry , physics , quantum mechanics
We find necessary and sufficient conditions for the existence of an L q ‐solution of the Neumann problem, the Robin problem and the transmission problem for the scalar Oseen equation in three‐dimensional open sets. As a consequence we study solutions of the generalized jump problem.