Exact controllability for the fourth order Schrödinger equation

DOI10.1007/s11401-012-0711-6zbMath1252.93030OpenAlexW2066085790MaRDI QIDQ692759

Chuang Zheng, Zhongcheng Zhou

Publication date: 6 December 2012

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-012-0711-6

zbMATH Keywords

controllabilitymultiplierfourth order Schrödinger equationHilbert uniqueness method (HUM) method

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) PDEs in connection with quantum mechanics (35Q40)

Related Items (8)

The fractional Schrödinger equation on compact manifolds: global controllability results ⋮ Uniform stabilization of the fourth order Schrödinger equation ⋮ Inverse problems for the fourth order Schrödinger equation on a finite domain ⋮ Exact boundary controllability of the linear biharmonic Schrödinger equation with variable coefficients ⋮ Positive and negative exact controllability results for the linear biharmonic Schrödinger equation ⋮ Carleman estimates for forward and backward stochastic fourth order Schrödinger equations and their applications ⋮ Stabilization and control for the biharmonic Schrödinger equation ⋮ Existence of weak solutions for the Schrödinger equation and its application

Cites Work

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