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Existence results for non‐homogeneous boundary conditions in the relaxed micromorphic model
Author(s) -
Ghiba IonelDumitrel,
Neff Patrizio,
Owczarek Sebastian
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6913
Subject(s) - mathematics , homogeneous , context (archaeology) , boundary value problem , mathematical analysis , property (philosophy) , notice , boundary (topology) , extension (predicate logic) , computer science , combinatorics , paleontology , philosophy , epistemology , political science , law , biology , programming language
In this paper, we notice a property of the extension operator from the space of tangential traces of H(curl; Ω) in the context of the linear relaxed micromorphic model, a theory that is recently used to describe the behavior of some metamaterials showing unorthodox behaviors with respect to elastic wave propagation. We show that the new property is important for existence results of strong solution for non‐homogeneous boundary condition in both the dynamic and the static case.