## Abstract In this article, we present results concerning with the existence of global solutions and a rate decay estimate for energy associated with an initial and boundary value problem for a beam evolution equation with variable coefficients in non‐cylindrical domains. Copyright © 2007 John Wil
Variational Equations of Schroedinger-Type in Non-cylindrical Domains
✍ Scribed by Marco Luigi Bernardi; Gianni Arrigo Pozzi; Giuseppe Savaré
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 183 KB
- Volume
- 171
- Category
- Article
- ISSN
- 0022-0396
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📜 SIMILAR VOLUMES
## Abstract In this paper, we prove the exponential decay as time goes to infinity of regular solutions of the problem for the beam equation with memory and weak damping where ${\hat{Q}}$ is a non‐cylindrical domains of ℝ^__n__+1^ (__n__⩾1) with the lateral boundary ${\hat{\sum}}$ and α is a posit
## Abstract As a basic example, we consider the porous medium equation (__m__ > 1) equation image where Ω ⊂ ℝ^__N__^ is a bounded domain with the smooth boundary ∂Ω, and initial data $u\_0 \thinspace \varepsilon L^{\infty} \cap L^{1}$. It is well‐known from the 1970s that the PME admits separable
The aim of this paper is to solve a division problem for the algebra of functions, which are holomorphic in a domain D ⊂ C n , n > 1, and grow near the boundary not faster than some power oflog dist(z, bD). The domain D is assumed to be smoothly bounded and convex of finite d'Angelo type.