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Elliptic boundary value problems in domains with point singularities / V.A. Kozlov, V.G. Mazʹya, J. Rossmann.

Author/Creator:
Kozlov, Vladimir, 1954- author.
Publication:
Providence, Rhode Island : American Mathematical Society, [1997]
Format/Description:
Book
1 online resource (426 p.)
Series:
Mathematical surveys and monographs ; no. 52.
Mathematical surveys and monographs, 0076-5376 ; volume 52
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Subjects:
Differential equations, Elliptic.
Boundary value problems.
Singularities (Mathematics).
Form/Genre:
Electronic books.
Language:
English
Contents:
""Contents""; ""Introduction""; ""Part 1. Elliptic boundary value problems in domains with smooth boundary""; ""Chapter 1. Boundary value problems for ordinary differential equations on the half-axis""; ""1.1. The boundary value problem and its formally adjoint""; ""1.2. Solvability of the boundary value problem on the half-axis""; ""1.3. Solvability of regular problems on the half-axis in Sobolev spaces of negative order""; ""1.4. Properties of the operator adjoint to the operator of the boundary value problem""; ""Chapter 2. Elliptic boundary value problems in the half-space""
""2.1. Periodic solutions of partial differential equations""""2.2. Solvability of elliptic boundary value problems in the half-space""; ""2.3. Solvability of elliptic boundary value problems in the half-space in Sobolev spaces of arbitrary integer order""; ""Chapter 3. Elliptic boundary value problems in smooth domains""; ""3.1. The boundary value problem and its formally adjoint""; ""3.2. An a priori estimate for the solution""; ""3.3. The adjoint operator""; ""3.4. Solvability of elliptic boundary value problems in smooth domains""; ""3.5. The Green function of the boundary value problem""
""3.6. Elliptic boundary value problems with parameter""""Chapter 4. Variants and extensions""; ""4.1. Elliptic problems with boundary operators of higher order in a smooth bounded domain""; ""4.2. Boundary value problems for elliptic systems of differential equations""; ""4.3. Boundary value problems in the variational form""; ""4.4. Further results""; ""4.5. Notes""; ""Part 2. Elliptic problems in domains with conical points""; ""Chapter 5. Elliptic boundary value problems in an infinite cylinder""
""5.1. Operator-valued polynomials and applications to ordinary differential equations with operator coefficients""""5.2. Solvability of the model problem in an infinite cylinder""; ""5.3. Solvability of the model problem in the cylinder in Sobolev spaces of negative order""; ""5.4. Asymptotics of the solution of the model problem at infinity""; ""5.5. The boundary value problem with coefficients which stabilize at infinity""; ""Chapter 6. Elliptic boundary value problems in domains with conical points""; ""6.1. The model problem in an infinite cone""
""6.2. Elliptic boundary value problems in a bounded domain with conical points""""6.3. Solvability of elliptic boundary value problems in bounded domains with conical points""; ""6.4. Asymptotics of the solution""; ""6.5. Boundary value problems with parameter in domains with conical points""; ""6.6. Examples""; ""Chapter 7. Elliptic boundary value problems in weighted Sobolev spaces with nonhomogeneous norms""; ""7.1. Relations between weighted Sobolev spaces""; ""7.2. Elliptic problems in spaces with nonhomogeneous norms""
""7.3. Weighted Sobolev spaces with critical value of the weight parameter""
Notes:
Description based upon print version of record.
Includes bibliographical references (pages 397-407) and index.
Description based on print version record.
Contributor:
Mazʹi͡a, V. G., author.
Rossmann, J. (Jürgen), 1954- author.
ISBN:
0821807544
0821833774