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Weak solutions for time-dependent boundary integral equations associated with the bending of elastic plates under combined boundary data. (English) Zbl 1151.74373

Summary: The existence, uniqueness, stability, and integral representation of distributional solutions are investigated for the equations of motion of a thin elastic plate with a combination of displacement and moment-stress components prescribed on the boundary.

MSC:

74K20 Plates
74H20 Existence of solutions of dynamical problems in solid mechanics
74H25 Uniqueness of solutions of dynamical problems in solid mechanics
74H30 Regularity of solutions of dynamical problems in solid mechanics
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