Artículos de revistas
Unique continuation property for a higher order nonlinear Schrodinger equation
Registro en:
Journal Of Mathematical Analysis And Applications. Academic Press Inc Elsevier Science, v. 303, n. 1, n. 188, n. 207, 2005.
0022-247X
WOS:000226914100014
10.1016/j.jmaa.2004.08.030
Autor
Carvajal, X
Panthee, M
Institución
Resumen
We prove that, if a sufficiently smooth solution u to the initial value problem associated with the equation partial derivative(t)u + ialphapartial derivative(x)(2)u + betapartial derivative(x)(3)u + i(gamma)\u\(2)u + delta\u\(2)partial derivative(x)u + epsilonu(2)partial derivative(x)(u) over bar = 0, x, t is an element of R, is supported in a half line at two different instants of time then u equivalent to 0. To prove this result we derive a new Carleman type estimate by extending the method introduced by Kenig et al. in [Ann. Inst. H. Poincare Anal. Non Lineaire 19 (2002) 191-208]. (C) 2004 Elsevier Inc. All rights reserved. 303 1 188 207