Carleman estimates for forward and backward stochastic fourth order Schrödinger equations and their applications

DOI10.3934/eect.2018023zbMath1405.35173arXiv1703.03629OpenAlexW2596657280MaRDI QIDQ1711872

Peng Zhang

Publication date: 18 January 2019

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.03629

zbMATH Keywords

observabilityCarleman estimateunique continuation propertyexact controllabilitstochastic fourth order Schrödinger equation

Mathematics Subject Classification ID

Controllability (93B05) Observability (93B07) PDEs in connection with quantum mechanics (35Q40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (5)

The fractional Schrödinger equation on compact manifolds: global controllability results ⋮ Unique continuation for a fourth-order stochastic parabolic equation ⋮ Exact boundary controllability of the linear biharmonic Schrödinger equation with variable coefficients ⋮ Error estimates of finite difference methods for the biharmonic nonlinear Schrödinger equation ⋮ Stabilization and control for the biharmonic Schrödinger equation

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