GLOBAL UNIQUENESS FOR A 2-DIMENSIONAL SEMILINEAR ELLIPTIC INVERSE PROBLEM

Authors
ISAKOV V NACHMAN AI
Citation
V. Isakov et Ai. Nachman, GLOBAL UNIQUENESS FOR A 2-DIMENSIONAL SEMILINEAR ELLIPTIC INVERSE PROBLEM, Transactions of the American Mathematical Society, 347(9), 1995, pp. 3375-3390
Citations number
17
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
347
Issue
9
Year of publication
1995
Pages
3375 - 3390
Database
ISI
SICI code
0002-9947(1995)347:9<3375:GUFA2S>2.0.ZU;2-J
Abstract
For a general class of nonlinear Schrodinger equations -Delta u+a(x, u ) = 0 in a bounded planar domain Omega we show that the function a(x, u) can be recovered from knowledge of the corresponding Dirichlet-to-N eumann map on the boundary partial derivative Omega.