Extension of the static shakedown-theorem to a certain class of materials with variable elastic coefficients

Asymptotic characterization of standing

Asymptotic characterization of standing waves and of the static limit for a class of wave equations of higher order with a variable coefficient and time-independent incitation

✍ Matthias Winter 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 742 KB

## Abstract We consider the equation (−1)^__m__^∇^__m__^ (__p__∇^__m__^__u__) + ∂__u__ = ƒ in ℝ^__n__^ × (0, ∞) for arbitrary positive integers __m__ and __n__ and under the assumptions __p__ − 1, ƒ ϵ __C__(ℝ^__n__^) and __p__ > 0. Even if the differential operator (−1)^__m__^∇^__m__^ (__p__∇^__m__