185
Views
29
CrossRef citations to date
0
Altmetric
Original Articles

Unique continuation for a stationary isotropic lamé system with variable coefficients

, , &
Pages 599-617 | Published online: 08 May 2007

  • Ang , D. D. , Trong , D. D. and Yamamoto , M. 1995 . Uniqve continuation and identification of boundary of an elastic body . J . Inverse and 3 posed Problmes , 3 : 417 – 428 .
  • Barcelo , B. , Kenig , C. E. , Ruiz , A. and Sogge , C. D. 1988 . Weighted Sobo1ev inequalities and unique continuation for the Laplacian plus lower order terms . Illinois J. Math. , 32 : 230 – 245 .
  • Carleman , T. 1939 . Sur un problème d’unicité pour les sytèmes d‘e’quations . Ark. Mat. Astr. Fys. , 26 : 1 – 9 .
  • Dehman , B. 1993 . La propriété du prolongement unique pour un système elliptique. le système de Lamé . J. Math. Pures Appl. , 72 : 475 – 492 .
  • Giaquinta, M., Introduction to Regularity Theory for Nonlinear Elliptic Systems, Birkhäuser, Basel, 1993
  • Gurtin , M.E. 1984 . “ The Linear Theory of Elasticity, Mechanics of Solids ” . Edited by: Truesdell . Vol. 2 , Berlin : Springer-Verlag .
  • Hörmander, L., Linear Partial Differential Operators. Springer-Verlag, Berlin, 1963.
  • Isakov , V. 1986 . A nonhyperbolic Cauchy problem for b c and its applications to elasticity theory . Comm. Pure Appl. Math. , 39 : 747 – 767 .
  • Isakov, V., Inverse Source Problems, American Mathematical Society, Providence, Rhode Island, 1990
  • Kumano-go, H., Pseudo-differential Operators, MIT Press. Cambridge, Massachusetts, 1981
  • Kurata , K. 1993 . A unique continuation theorem for uniformly elliptic equations with strongly singular potentials . Comm. Partial Differential Equations , 18 : 1161 – 1189 .
  • Lerner , N. 1988 . Carleman's and subelliptic estimates . Duke Math. J. , 56 : 385 – 394 .
  • Nirenberg , L. 1957 . Uniqueness in Cauchy problems for differential equations with constant leading coefficients . Comm. Pure Appl. Math. , 10 : 89 – 105 .
  • Pliś , A. 1961 . A smooth linear elliptic differential equation without any solution in a sphere . Comm. Pure Appl. Math. , 14 : 599 – 617 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.