On solutions to some quasilinear hyperbolic equations with nonlinear inhomogeneous terms
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Publication:3980050
DOI10.1016/0362-546X(91)90221-LzbMath0765.35030MaRDI QIDQ3980050
Publication date: 26 June 1992
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
nonexistence of global solutionslocal existencestrong solutionsinitial value problemselfadjoint operatorlocal solvabilityblowing-upquasilinear hyperbolic equation
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Related Items (14)
Uniform decay of solution for wave equation of Kirchhoff type with nonlinear boundary damping and memory term ⋮ Uniform decay for the unilateral problem associated to the Kirchhoff type wave equations with nonlinear boundary damping ⋮ Dynamics of nonlinear hyperbolic equations of Kirchhoff type ⋮ Decay properties of solutions of some quasilinear hyperbolic equations with strong damping ⋮ Blow-up of solutions to a class of Kirchhoff equations with strong damping and nonlinear dissipation ⋮ Scattering for a quasilinear hyperbolic equation of Kirchhoff type ⋮ On uniform decay of solutions for wave equation of Kirchhoff type with nonlinear boundary damping and memory source term ⋮ Long-time behavior for evolution processes associated with non-autonomous nonlinear Schrödinger equation ⋮ Majorant sign of the first order for totally global solvability of a controlled functional operator equation ⋮ Global solutions for a nonlinear wave equation ⋮ General stability for the Kirchhoff-type equation with memory boundary and acoustic boundary conditions ⋮ Existence and Uniform Decay of Solutions of a Degenerate Equation with Nonlinear Boundary Damping ⋮ Blow-up of solutions for some non-linear wave equations of Kirchhoff type with some dissipation ⋮ On coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term
Cites Work
- Semigroups of linear operators and applications to partial differential equations
- Abstract non linear wave equations
- Saddle points and instability of nonlinear hyperbolic equations
- Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
- Linear evolution equations of hyperbolic type. II
- Yosida approximation and nonlinear hyperbolic equation
- Exponential decay of solutions of some quasilinear hyperbolic equations with linear damping
- On some quasilinear wave equations with dissipative terms
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
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