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PREFACE
Author(s) -
Terano Akira
Publication year - 2012
Publication title -
journal of gastroenterology and hepatology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.214
H-Index - 130
eISSN - 1440-1746
pISSN - 0815-9319
DOI - 10.1111/j.1440-1746.2012.07093.x
Subject(s) - medicine , tragedy (event) , accident (philosophy) , government (linguistics) , fukushima nuclear accident , forensic engineering , nuclear power plant , engineering , philosophy , linguistics , physics , epistemology , psychiatry , nuclear physics
The first two chapters contain introductory courses. Chapter 1 presents the theory of Sobolev-type spaces H (s ∈ R) on R, on a smooth closed manifold, and on a smooth bounded domain. Chapter 2 outlines the foundations of the theory of general linear elliptic equations on smooth closed manifolds and the theory of general elliptic boundary value problems in smooth bounded domains in the spacesH. Chapter 3 presents the theory of basic boundary value problems for second-order strongly elliptic systems in the same spaces in a bounded Lipschitz domain; its boundary can generally be very nonsmooth. Chapter 4 is of review character. Here we briefly consider the more general Bessel potential spaces H p and the Besov spaces B s p = B s p,p, 1 < p < ∞, and describe their applications to the same problems.