Abstract
In this chapter we treat the plate equation, which is of second order in t and of fourth order in x. In contrast to linear elasticity the solutions show dispersion. The reduced plate equation involves a product of (Δ + 1) and (Δ − 1). Thus with respect to x we expect both a vibrating and a damping component. The procedure will be similar to that already used. Thus we start by formulating the problem and prove existence and uniqueness. In section 12.3 we treat the free space problem and in section 12.4 present some aspects of exterior boundary value problems.
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© 1986 Springer Fachmedien Wiesbaden
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Leis, R. (1986). The plate equation. In: Initial Boundary Value Problems in Mathematical Physics. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-10649-4_12
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DOI: https://doi.org/10.1007/978-3-663-10649-4_12
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-519-02102-5
Online ISBN: 978-3-663-10649-4
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