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

DOI10.1134/S0012266114040053zbMath1317.35289MaRDI QIDQ404656

B. A. Aliev, Ya. S. Yakubov

Publication date: 4 September 2014

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

discontinuous coefficientsboundary value problemsecond-order elliptic equationtransmission condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs with low regular coefficients and/or low regular data (35R05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

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On solvability of third-order operator differential equation with parabolic principal part in weighted space

Cites Work

• Second order elliptic differential-operator equations with unbounded operator boundary conditions in \(UMD\) Banach spaces
• Solvability of a class of boundary value problems for second-order operator-differential equations with a discontinuous coefficient in a weighted space
• Transmission problem for an abstract fourth-order differential equation of elliptic type in UMD spaces
• The asymptotic behavior of eigenvalues of a boundary value problem for a second-order elliptic operator-differential equation with a discontinuous coefficient
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