On some nonlinear hyperbolic systems with damping boundary conditions
From MaRDI portal
Publication:3980053
DOI10.1016/0362-546X(91)90050-BzbMath0772.35031MaRDI QIDQ3980053
Songmu Zheng, Yoshihiro Shibata
Publication date: 26 June 1992
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Sobolev spaceexistenceinitial-boundary value problemnonlinear hyperbolic systemsnonlinear elastodynamics equationquasilinear scalar equations
Related Items (2)
The Work of Yoshihiro Shibata ⋮ On a global in time existence theorem of smooth solutions to a nonlinear wave equation with viscosity
Cites Work
- On the mixed problem for some quasilinear hyperbolic system with fully nonlinear boundary condition
- On the global existence of classical solutions of second order fully nonlinear hyperbolic equations with first order dissipation in the exterior domain
- Energie decay estimates and exact boundary value controllability for the wave equation in a bounded domain
- Singularities and energy decay in acoustical scattering
- On the Neumann problem for some linear hyperbolic systems of 2nd order with coefficients in Sobolev spaces
- The effect of boundary damping for the quasilinear wave equation
- On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain
- On the one-dimensional motion of the polytropic ideal gas non-fixed on the boundary
- Global smooth solutions to the system of one-dimensional thermoelasticity with dissipation boundary conditions
- On a local existence theorem of Neumann problem for some quasilinear hyperbolic system of 2nd order
- The global smooth solutions of second order quasilinear hyperbolic equations with dissipative boundary conditions
- On the Neumann problem for some linear hyperbolic systems of second order
- A mixed problem for hyperbolic equations of second order with non- homogeneous Neumann type boundary condition
- Boundary Stabilization of Linear Elastodynamic Systems
- ON THE SHORT WAVE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF STATIONARY PROBLEMS AND THE ASYMPTOTIC BEHAVIOUR ASt→ ∞ OF SOLUTIONS OF NON-STATIONARY PROBLEMS
- Asymptotic stability and energy decay rates for solutions of hyperbolic equations with boundary damping
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On some nonlinear hyperbolic systems with damping boundary conditions