We prove global existence of the $3D$ relativistic Vlasov-Maxwell system for a class of arbitrary large regular initial data with spherical symmetry, in which the initial distribution function of particles is assumed to decay fast but polynomially towards infinity.
A Riemann-Hilbert approach to existence of global solutions to the Fokas-Lenells equation on the line
Scattering profile for global solutions of the energy-critical wave equation
On global solution to the Klein-Gordon-Hartree equation below energy space
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