On time-periodic solutions of a quasilinear wave equation
Игорь Алексеевич Рудаков · Proceedings of the Steklov Institute of Mathematics · 2010
Existence and regularization theorems are obtained for generalized solutions of a quasilinear wave equation with variable coefficients and homogeneous Dirichlet boundary conditions. The nonlinear term either exhibits a power growth or satisfies a nonresonance condition.