Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Strong uniqueness for the plate equations
HTML articles powered by AMS MathViewer

by Shigeo Tarama PDF
Proc. Amer. Math. Soc. 132 (2004), 3629-3639 Request permission

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
  • S. Alinhac and N. Lerner, Unicité forte à partir d’une variété de dimension quelconque pour des inégalités différentielles elliptiques, Séminaire Goulaouic-Schwartz, 1979–1980 (French), École Polytech., Palaiseau, 1980, pp. Exp. No. 20, 10 (French). MR 600705
  • 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) Progr. Nonlinear Differential Equations Appl., vol. 46, Birkhäuser Boston, Boston, MA, 2001, pp. 49–60. MR 1839166
  • Victor Isakov, On uniqueness in a lateral Cauchy problem with multiple characteristics, J. Differential Equations 134 (1997), no. 1, 134–147. MR 1429094, DOI 10.1006/jdeq.1996.3227
  • Gilles Lebeau, Un probléme d’unicité forte pour l’équation des ondes, Comm. Partial Differential Equations 24 (1999), no. 3-4, 777–783 (French). MR 1683060, DOI 10.1080/03605309908821444
  • Luc Robbiano, Théorème d’unicité adapté au contrôle des solutions des problèmes hyperboliques, Comm. Partial Differential Equations 16 (1991), no. 4-5, 789–800 (French). MR 1113107, DOI 10.1080/03605309108820778
  • Daniel Tataru, Unique continuation for solutions to PDE’s; between Hörmander’s theorem and Holmgren’s theorem, Comm. Partial Differential Equations 20 (1995), no. 5-6, 855–884. MR 1326909, DOI 10.1080/03605309508821117
  • 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
  • Received by editor(s): August 21, 2003
  • Published electronically: July 20, 2004
  • Communicated by: David S. Tartakoff
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 3629-3639
  • MSC (2000): Primary 35A07, 35Q72
  • DOI: https://doi.org/10.1090/S0002-9939-04-07624-5
  • MathSciNet review: 2084086