Global Solution of the System of Wave and Klein-Gordon Equations.
Global solution of the wave equation
Global solution to a Hopf equation and its application to non-strictly hyperbolic systems of conservation laws.
Global solutions and exponential decay for a nonlinear coupled system of beam equations of Kirchhoff type with memory in a domain with moving boundary.
Global solutions and finite time blow up for damped semilinear wave equations
Global solutions for a nonlinear hyperbolic equation with boundary memory source term.
Global solutions for a nonlinear wave equation with the -Laplacian operator.
Global solutions of quasilinear systems of Klein–Gordon equations in 3D
We prove small data global existence and scattering for quasilinear systems of Klein-Gordon equations with different speeds, in dimension three. As an application, we obtain a robust global stability result for the Euler-Maxwell equations for electrons.
Global solutions of the equations of elastodynamics for incompressible materials.
Global solutions to initial value problems in nonlinear hyperbolic thermoelasticity [Book]
Global solutions to some nonlinear dissipative mildly degenerate Kirchhoff equations.
Global solutions with infinite energy for the one-dimensional Zakharov system.
Global solvability for the degenerate Kirchhoff equation
Global solvability of a mixed problem for a nonlinear hyperbolic-parabolic equation in noncylindrical domains.
Global solvability of the mixed problem for first order functional partial differential equations
Global solvability to the Kirchhoff equation for a new class of initial data.
Global sound waves for quasilinear second order wave equations.
Global sovability for the degenerate Krichhoff equation with real anlytic data.
Global stability of travelling fronts for a damped wave equation with bistable nonlinearity
We consider the damped wave equation on the whole real line, where is a bistable potential. This equation has travelling front solutions of the form which describe a moving interface between two different steady states of the system, one of which being the global minimum of . We show that, if the initial data are sufficiently close to the profile of a front for large , the solution of the damped wave equation converges uniformly on to a travelling front as . The proof of this global stability...
Global Strichartz estimates for variable coefficient second order hyperbolic operators