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Moving and oblique observations of beams and plates

  • * Corresponding author: Philippe Jaming

    * Corresponding author: Philippe Jaming 
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  • We study the observability of the one-dimensional Schrödinger equation and of the beam and plate equations by moving or oblique observations. Applying different versions and adaptations of Ingham's theorem on nonharmonic Fourier series, we obtain various observability and non-observability theorems. Several open problems are also formulated at the end of the paper.

    Mathematics Subject Classification: Primary: 93B07; Secondary: 74K10, 74K20, 42A99.


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  • Figure  .  Case (ⅰ)

    Figure  .  Case (ⅱ)

    Figure  .  A case where none of (ⅰ) and (ⅱ) is satisfied

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