A Phragmen–Lindelof type theorem for quasilinear viscoelasticity equations
✍ Scribed by Y. Yilmaz
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 141 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
We obtained the spatial growth and decay estimates for solutions of a class of quasilinear equations modelling dynamic viscoelasticity in a domain Ω × (0, T ), where Ω ⊂ R n is a semi-infinite cylinder.
📜 SIMILAR VOLUMES
The aim of this paper is to prove the following theorem of the PHRAGMEN-LINDE-LOF type. ## Theorem. Let f ( z ) be analytic in the angular domain and for some p E (0, + -) satistifis the following conditions: a) there exists the boundary function f [ r e q ) ( k i i x l ( 2 a ) ) I ~L p (0, +-) s
## Abstract We consider the following nonlinear viscoelastic equation equation image together with Dirichlet‐boundary conditions, in a bounded domain Ω and __ρ__ > 0. We prove an exponential decay result for a class of relaxation functions. Our result is established without imposing the usual rel