TY - JOUR
T1 - Solvability of boundary value problems for second-order elliptic differential-operator equations with a spectral parameter and with a discontinuous coefficient at the highest derivative
AU - Aliev, B. A.
AU - Yakubov, Ya
PY - 2014/4
Y1 - 2014/4
N2 - In a Hilbert space H, we study the solvability of boundary value problems for second-order elliptic differential-operator equations with a spectral parameter and with a discontinuous (piecewise constant) coefficient at the highest derivative. At the point of discontinuity, we find a transmission condition, which contains a linear unbounded operator. We present an application of the results to elliptic boundary value problems.
AB - In a Hilbert space H, we study the solvability of boundary value problems for second-order elliptic differential-operator equations with a spectral parameter and with a discontinuous (piecewise constant) coefficient at the highest derivative. At the point of discontinuity, we find a transmission condition, which contains a linear unbounded operator. We present an application of the results to elliptic boundary value problems.
UR - http://www.scopus.com/inward/record.url?scp=84900018208&partnerID=8YFLogxK
U2 - 10.1134/S0012266114040053
DO - 10.1134/S0012266114040053
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AN - SCOPUS:84900018208
VL - 50
SP - 464
EP - 475
JO - Differential Equations
JF - Differential Equations
SN - 0012-2661
IS - 4
ER -