TY - JOUR
T1 - Completeness of elementary solutions of second order elliptic equations in a semi-infinite tube domain
AU - Yakubov, Yakov
PY - 2002
Y1 - 2002
N2 - Boundary-value problems for second order abstract differential equations on a semi-axis are considered in this article. We find isomorphisms for the corresponding operators and prove completeness of elementary solutions corresponding to subsets of eigenvalues. As an application of the abstract results, we study second order elliptic equations in semi-infinite tube domains. Our results can be applied to pure differential, integrodifferential, functional-differential and equations with a shift.
AB - Boundary-value problems for second order abstract differential equations on a semi-axis are considered in this article. We find isomorphisms for the corresponding operators and prove completeness of elementary solutions corresponding to subsets of eigenvalues. As an application of the abstract results, we study second order elliptic equations in semi-infinite tube domains. Our results can be applied to pure differential, integrodifferential, functional-differential and equations with a shift.
KW - Abstract differential equations
KW - Completeness
KW - Isomorphism
KW - Second order elliptic equations
KW - Semi-infinite tube domains
UR - http://www.scopus.com/inward/record.url?scp=35549003184&partnerID=8YFLogxK
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AN - SCOPUS:35549003184
SN - 1072-6691
VL - 2002
SP - XLIII-XLIV
JO - Electronic Journal of Differential Equations
JF - Electronic Journal of Differential Equations
ER -