Background:To investigate the effectiveness of Baduanjin qigong combined with cognitive-behavior therapy (CBT) on the physical fitness and psychological health of elderly housebound.Materials and methods:The 120 elderly housebound were randomly divided into 3 intervention groups: Baduanjin training, Baduanjin training combined with CBT, and CBT. The interventions were conducted by means of home visits over 6 months. Spirometry, SF-36 health survey of quality of life, and Lawton and Brody Instrumental Activities of Daily Living Scale (IADL) were used to collect physical health data, and self-evaluation of overall health status, self-evaluation of loneliness, and short-form geriatric depression scale (GDS-15) were used to collect mental health data at baseline, 3 months, and 6 months after intervention. Data was analyzed by repeated measures analysis of variance (rANOVA) and chi-squared test (χ2 test).Results:Forced vital capacity (FVC), maximum voluntary ventilation (MVV), quality of life (QOL), and self-reported health status were significantly increased (P < .05) in the group receiving joint Baduanjin and CBT intervention at 3 months and 6 months, as compared to the Baduanjin only group or the CBT only group. Activities of daily living (ADL), self-evaluated loneliness, and level of depression were significantly lowered (P < .05) in the group receiving joint Baduanjin and CBT intervention at 3 months and 6 months, as compared to the Baduanjin only group or the CBT only group.Conclusions:Physical and psychological statuses of elderly housebound were significantly improved by Baduanjin training combined with CBT. The effect of the combined intervention exceeded that of CBT or Baduanjin alone.

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<p style='text-indent:20px;'>Considered herein is the initial boundary value problem associated with a sixth-order nonlinear parabolic equation in a bounded domain. We first establish a new global Carleman estimate for the sixth-order parabolic operator. Based on this estimate, we obtain the local exact controllability to the trajectories and the unique continuation property of the parabolic equation.</p>

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