2019•Mathematical Control and Related FieldsOpen access

Controllability properties of degenerate pseudo-parabolic boundary control problems

Mu-Ming Zhang, Tianyuan Xu, Jingxue Yin

Abstract

This paper concerns with the boundary control of a degenerate pseudo-parabolic equation. Compare to the results those for degenerate parabolic equations, we discover that the null controllability property for the degenerate pseudo-parabolic equation is false, but the approximate controllability in some proper state space holds.

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Available abstract

Key concepts: Controllability, Degenerate energy levels, Parabolic partial differential equation, Mathematics, Boundary (topology), Mathematical analysis, Space (punctuation), Property (philosophy)