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Article
Lower Bounds of Optimal Exponentials of Thickness in Geometry Rigidity Inequality for Shells
The optimal exponentials of thickness in the geometry rigidity inequality of shells represent the geometry rigidity of the shells. The author obtains that the lower bounds of the optimal exponentials are 4/3, ...
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Article
Boundary controllability of structural acoustic systems with variable coefficients and curved walls
This paper studies a structural acoustic model consisting of an interior acoustic wave equation with variable coefficients and a coupled Kirchhoff plate equation with a curved middle surface. By the Riemannian...
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Article
Weighted L2-estimates of solutions for damped wave equations with variable coefficients
The authors establish weighted L2-estimates of solutions for the damped wave equations with variable coefficients u tt − divA(x)∇u+au t = 0 in
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Article
Decay rates of the hyperbolic equation in an exterior domain with half-linear and nonlinear boundary dissipations
This paper considers the energy decay of the wave equation with variable coefficients in an exterior domain. The dam** is put on partly the boundary and partly on the interior of the domain. The energy decay...
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Article
General decay rate estimates for viscoelastic wave equation with variable coefficients
The authors study decay properties of solutions for a viscoelastic wave equation with variable coefficients and a nonlinear boundary dam** by the differential geometric approach.
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Article
Editorial
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Article
Global smooth solutions for semilinear Schrödinger equations with boundary feedback on 2-dimensional Riemannian manifolds
This paper considers the existence of global smooth solutions of semilinear schrödinger equation with a boundary feedback on 2-dimensional Riemannian manifolds when initial data are small. The authors show tha...