|
Strong uniqueness for the plate equations
Author(s):
Shigeo
Tarama
Journal:
Proc. Amer. Math. Soc.
132
(2004),
3629-3639.
MSC (2000):
Primary 35A07, 35Q72
Posted:
July 20, 2004
Retrieve article in:
PDF
Abstract |
References |
Similar articles |
Additional information
Abstract:
In this paper we show the strong uniqueness for the plate equations. By using the idea due to Lebeau we transform the given operator to the elliptic operators to which we apply the Carleman estimates given by Alinhac and Lerner.
References:
-
- 1.
- S. Alinhac and N. Lerner, Unicité forte à partir d'une variété de dimension quelconque pour des inégalités différentielles elliptiques. Duke Math. J. 48 (1981), no. 1, 49-68. MR 83b:35005a
- 2.
- F. Colombini and C. Grammatico, Strong uniqueness for Laplace and bi-Laplace operators in the limit case. Carleman estimates and applications to uniqueness and control theory (Cortona, 1999), 49-60, Progr. Nonlinear Differential Equations Appl., 46, Birkhäuser Boston, Boston, MA, 2001. MR 2003e:35333
- 3.
- V. Isakov, On uniqueness in a lateral Cauchy problem with multiple characteristics, J. Differential Equations 134 (1997), 134-147 MR 97m:35005
- 4.
- G. Lebeau, Un problème d'unicité forte pour l'équation des ondes. Comm. Partial Differential Equations 24 (1999), no. 3-4, 777-783 MR 2000c:58054
- 5.
- L. Robbiano, Théorème d'unicité adapté au contrôle des solutions des problèmes hyperboliques. Comm. Partial Differential Equations 16 (1991), no. 4-5, 789-800. MR 92j:35002
- 6.
- D. Tataru, Unique continuation for solutions to PDE's: between Hörmander's theorem and Holmgren's theorem, Comm. Partial Differential Equations 20 (1995), 855-884. MR 96e:35019
- 7.
- D. Tataru, Carleman estimates, unique continuation and applications, (http://www.math. berkeley.edu/~tataru/papers/)
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(2000):
35A07, 35Q72
Retrieve articles in all Journals with MSC
(2000):
35A07, 35Q72
Additional Information:
Shigeo
Tarama
Affiliation:
Laboratory of Applied Mathematics, Graduate School of Engineering, Osaka City University, Osaka, 558-8585, Japan
Email:
starama@mech.eng.osaka-cu.ac.jp
DOI:
10.1090/S0002-9939-04-07624-5
PII:
S 0002-9939(04)07624-5
Keywords:
Strong uniqueness,
plate equations
Received by editor(s):
August 21, 2003
Posted:
July 20, 2004
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2004,
American Mathematical Society
|
Comments: webmaster@ams.org