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Forced cubic Schrödinger equation with Robin boundary data: continuous dependency result

Published online by Cambridge University Press:  17 February 2009

Charles Bu
Charles Bu
Affiliation:
Department of Mathematics, Wellesley College, Wellesley, MA 02482, USA
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Abstract

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For the cubic Schrödinger equation iut = uxx + k|u|2u, 0 ≤ x, t < ∞, initial data u(x, 0) = u0(x) ∈ H2[0, ∞), and Robin boundary data ux(0, t) + αu(0, t) = R(t) ∈ C2[0, ∞) (where α is real), we show that the solution u depends continuously on u0 and R.

Type
Research Article
Information
The ANZIAM Journal , Volume 41 , Issue 3 , January 2000 , pp. 301 - 311
Copyright
Copyright © Australian Mathematical Society 2000

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