On the Strongly Damped Wave Equation
β Scribed by Vittorino Pata; Marco Squassina
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 228 KB
- Volume
- 253
- Category
- Article
- ISSN
- 0010-3616
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π SIMILAR VOLUMES
The Cauchy problem for a semilinear strongly damped wave equation is considered in the whole of R n . Under suitable conditions imposed on nonlinear term, which are much like for equations in bounded domains, a dissipative semigroup {T(t)} of global solutions to this problem is constructed in a reac
We consider the dynamical behavior of the strongly damped wave equations under homogeneous Neumann boundary condition. By the property of limit set of asymptotic autonomous differential equations, we prove that in certain parameter region, the system has a one-dimensional global attractor, which is
In this work we estimate the spectrum of the linear damped wave semigroup under homogeneous Dirichlet boundary conditions by using the principal eigenvalue of an elliptic operator related to the equation. Our estimate is optimal for real eigenvalues. Then, we analyze the behavior of the estimate as