Global solution of the system of wave and Klein-Gordon equations
The work is devoted to the proof of a new \(L^{\infty}-L^ 2\) weighted estimate for the linear wave equation. The weighted Sobolev spaces are associated with the Poincaré group in \({\mathbb{R}}^ 4\) only. Application to a nonlinear system of wave and Klein-Gordon equations is given. The nonlinear term of this system is assumed to satisfy a strong version of the null condition of Klainerman.
scientific article; zbMATH DE number 4097919
scientific article