Sturm–Liouville problems in weighted spaces in domains with non-smooth edges. II

DOI10.3103/S1055134416040027zbMath1374.35146OpenAlexW4247581030MaRDI QIDQ2959179

Nikolai N. Tarkhanov, Alexandre A. Shlapunov

Publication date: 9 February 2017

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134416040027

zbMATH Keywords

weighted Sobolev spacemixed problemelliptic operatorroot functionnoncoercive boundary condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10)

Related Items

Numerical study of the Zaremba problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strongly elliptic second-order systems with boundary conditions on a nonclosed Lipschitz surface
• Mixed problems in a Lipschitz domain for strongly elliptic second-order systems
• Completeness of eigenfunctions of an elliptic operator on a manifold with conical points
• On the root functions of general elliptic boundary value problems
• Spectral boundary value problems in Lipschitz domains for strongly elliptic systems in Banach spaces \(H_p ^\sigma\) and \(B_p^\sigma \)
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• Nonself-adjoint elliptic operators on nonsmooth domains
• Spectral decomposition of Green's integrals and existence of \(W^{s,2}\)-solutions of matrix factorizations of the Laplace operator in a ball
• Completeness of the systems of root functions of elliptic operators in Banach spaces.
• Thin sets in nonlinear potential theory
• Duality by reproducing kernels
• On series with respect to root vectors of operators associated with forms having symmetric principal part
• On completeness of root functions of Sturm-Liouville problems with discontinuous boundary operators
• Hypoelliptic second order differential equations
• Sturm–Liouville problems in weighted spaces in domains with nonsmooth edges. I
• ON THE SPECTRAL THEORY OF STRONGLY ELLIPTIC DIFFERENTIAL OPERATORS
• ESTIMATES AND EXISTENCE THEOREMS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• Mixed problems with non-homogeneous boundary conditions in Lipschitz domains for second-order elliptic equations with a parameter
• Spectral problems for second-order strongly elliptic systems in smooth and non-smooth domains
• AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ
• On the Eigenfunctions and Eigenvalues of the General Linear Elliptic Differential Operator

This page was built for publication: Sturm–Liouville problems in weighted spaces in domains with non-smooth edges. II