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GLOBAL SOLUTIONS OF QUASILINEAR SYSTEMS OF KLEIN–GORDON EQUATIONS IN 3D
GLOBAL SOLUTIONS QUASILINEAR SYSTEMS KLEIN–GORDON EQUATIONS 3D
2014/4/3
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 stab...
Orbital stability of coupled standing waves for systems of non-linear Klein-Gordon equations
standing waves elliptic systems unbounded
2010/12/3
In this work we consider a system of two non-linear waves equa-tions where the non-negative, non-linear term is subcritic and contains a cou-pling term. We show the existence of standing waves solutio...
On long-time decay for modified Klein-Gordon equation
Klein-Gordon equation relativistic equations resolvent spectral representa-tion
2010/12/6
We obtain a dispersive long-time decay in weighted energy norms for solutions of the Klein-Gordon equation in a moving frame. The decay extends the results of Jensen, Kato and Murata for the equations...