Carleman Estimates and Applications to Uniqueness and by Feruccio Colombini,Claude Zuily

By Feruccio Colombini,Claude Zuily

The articles during this quantity mirror a next improvement after a systematic assembly entitled Carleman Estimates and keep an eye on idea, held in Cartona in September 1999. The 14 research-level articles, written through specialists, concentrate on new effects on Carleman estimates and their functions to strong point and controlla bility of partial differential equations and platforms. the most issues are targeted continuation for elliptic PDEs and structures, con trol idea and inverse difficulties. New effects on robust forte for moment or greater order operators are explored intimately in numerous papers. within the zone of keep watch over thought. the reader will locate functions of Carleman estimates to stabiliza tion, observability and distinctive keep an eye on for the wave and the SchrOdinger equations. a last paper offers a demanding checklist of open difficulties with regards to regulate lability of linear and sernilinear warmth equations. The papers comprise exhaustive and basically self-contained proofs without delay ac cessible to mathematicians, physicists, and graduate scholars with an common heritage in PDEs. individuals are L. Aloui, M. Bellassoued, N. Burq, F. Colombini, B. Dehman, C. Grammatico, M. Khenissi, H. Koch, P. Le Borgne, N. Lerner, T. Nishitani. T. Okaji, K.D. Phung, R. Regbaoui, X. Saint Raymond, D. Tataru, and E. Zuazua.

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