ar X iv : 0 81 2 . 19 58 v 1 [ m at h . FA ] 1 0 D ec 2 00 8 Generalized solutions for the Euler - Bernoulli model with distributional forces ∗
نویسنده
چکیده
We establish existence and uniqueness of generalized solutions to the initial-boundary value problem corresponding to an Euler-Bernoulli beam model from mechanics. The governing partial differential equation is of order four and involves discontinuous, and even distributional, coefficients and right-hand side. The general problem is solved by application of functional analytic techniques to obtain estimates for the solutions to regularized problems. Finally, we prove coherence properties and provide a regularity analysis of the generalized solution.
منابع مشابه
ar X iv : 0 81 2 . 19 58 v 2 [ m at h . FA ] 1 1 D ec 2 00 8 Generalized solutions for the Euler - Bernoulli model with distributional forces ∗
We establish existence and uniqueness of generalized solutions to the initial-boundary value problem corresponding to an Euler-Bernoulli beam model from mechanics. The governing partial differential equation is of order four and involves discontinuous, and even distributional, coefficients and right-hand side. The general problem is solved by application of functional analytic techniques to obt...
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