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General non local boundary value problem for second order elliptic equation
Author(s) -
Aibeche Aissa,
Amroune Nasreddine,
Maingot Stephane
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.201700032
Subject(s) - mathematics , uniqueness , boundary value problem , order (exchange) , mathematical analysis , class (philosophy) , elliptic curve , elliptic boundary value problem , elliptic partial differential equation , free boundary problem , differential equation , pure mathematics , computer science , finance , artificial intelligence , economics
In this paper we study a class of second order coefficient operators differential equation with general (possibly non local) boundary conditions. We obtain new results extending those given in a previous paper [1][A. Aibeche, 2016]. Existence, uniqueness and optimal regularity of the strict solution are proved in UMD spaces, using the well‐known Dore–Venni theorem.