Global smooth solutions of some quasi-linear hyperbolic systems with large data
Global smooth solutions to a class of semilinear wave equations with strong nonlinearities.
Global solution of mixed problem for a certain system of nonlinear conservation laws
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.