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Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations
About this Title
V. A. Kozlov, University of Linköping, Linköping, Sweden, V. G. Maz’ya, University of Linköping, Linköping, Sweden and J. Rossmann, University of Rostock, Rostock, Germany
Publication: Mathematical Surveys and Monographs
Publication Year:
2001; Volume 85
ISBNs: 978-0-8218-2727-7 (print); 978-1-4704-1312-5 (online)
DOI: https://doi.org/10.1090/surv/085
MathSciNet review: MR1788991
MSC: Primary 35J40; Secondary 35P15, 35P20, 47F05
Table of Contents
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Front/Back Matter
Chapters
- 1. Prerequisites on operator pencils
- 2. Angle and conic singularities of harmonic functions
- 3. The Dirichlet problem for the Lamé system
- 4. Other boundary value problems for the Lamé system
- 5. The Dirichlet problem for the Stokes system
- 6. Other boundary value problems for the Stokes system in a cone
- 7. The Dirichlet problem for the biharmonic and polyharmonic equations
- 8. The Dirichlet problem for elliptic equations and systems in an angle
- 9. Asymptotics of the spectrum of operator pencils generated by general boundary value problems in an angle
- 10. The Dirichlet problem for strongly elliptic systems in particular cones
- 11. The Dirichlet problem in a cone
- 12. The Neumann problem in a cone