Spectral Problems for the Lamé System with Spectral Parameter in Boundary Conditions on Smooth or Nonsmooth Boundary

M. S. Agranovich; B. A. Amosov; M. Levitin

Spectral Problems for the Lamé System with Spectral Parameter in Boundary Conditions on Smooth or Nonsmooth Boundary

M. S. Agranovich
, B. A. Amosov
, M. Levitin

Research output: Contribution to journal › Article › peer-review

Abstract

The paper is devoted to four spectral problems for the Lamé system of linear elasticity in domains of R³ with compact connected boundary S. The frequency is fixed in the upper closed half-plane; the spectral parameter enters into the boundary or transmission conditions on S. Two cases are investigated: (1) S is C⁸; (2) S is Lipschitz.

Original language	English
Pages (from-to)	247-281
Number of pages	35
Journal	Russian Journal of Mathematical Physics
Volume	6
Issue number	3
Publication status	Published - Jul 1999

Cite this

@article{61c43943602a4ae78da23c95e0ebbd47,

title = "Spectral Problems for the Lam{\'e} System with Spectral Parameter in Boundary Conditions on Smooth or Nonsmooth Boundary",

abstract = "The paper is devoted to four spectral problems for the Lam{\'e} system of linear elasticity in domains of R3 with compact connected boundary S. The frequency is fixed in the upper closed half-plane; the spectral parameter enters into the boundary or transmission conditions on S. Two cases are investigated: (1) S is C8; (2) S is Lipschitz.",

author = "Agranovich, \{M. S.\} and Amosov, \{B. A.\} and M. Levitin",

year = "1999",

month = jul,

language = "English",

volume = "6",

pages = "247--281",

journal = "Russian Journal of Mathematical Physics",

issn = "1555-6638",

publisher = "Pleiades Publishing",

number = "3",

}

TY - JOUR

T1 - Spectral Problems for the Lamé System with Spectral Parameter in Boundary Conditions on Smooth or Nonsmooth Boundary

AU - Agranovich, M. S.

AU - Amosov, B. A.

AU - Levitin, M.

PY - 1999/7

Y1 - 1999/7

N2 - The paper is devoted to four spectral problems for the Lamé system of linear elasticity in domains of R3 with compact connected boundary S. The frequency is fixed in the upper closed half-plane; the spectral parameter enters into the boundary or transmission conditions on S. Two cases are investigated: (1) S is C8; (2) S is Lipschitz.

AB - The paper is devoted to four spectral problems for the Lamé system of linear elasticity in domains of R3 with compact connected boundary S. The frequency is fixed in the upper closed half-plane; the spectral parameter enters into the boundary or transmission conditions on S. Two cases are investigated: (1) S is C8; (2) S is Lipschitz.

M3 - Article

SN - 1555-6638

VL - 6

SP - 247

EP - 281

JO - Russian Journal of Mathematical Physics

JF - Russian Journal of Mathematical Physics

IS - 3

ER -

Spectral Problems for the Lamé System with Spectral Parameter in Boundary Conditions on Smooth or Nonsmooth Boundary

Abstract

Fingerprint

Cite this