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تسجيل مستخدم جديدOn the strongly damped wave equation with constraint
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A weak formulation for the so-called semilinear strongly damped wave equation with constraint is introduced and a corresponding notion of solution is defined. The main idea in this approach consists in the use of duality techniques in Sobolev-Bochner spaces, aimed at providing a suitable relaxation of the constraint term. A global in time existence result is proved under the natural condition that the initial data have finite physical energy.
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