Propagation of singularities for generalized solutions to nonlinear wave equations
Propagation of singularities for generalized solutions to nonlinear wave equations
Abstract The paper is devoted to regularity theory of generalized solutions to semilinear wave equations with a small nonlinearity. The setting is the one of Colombeau algebras of generalized functions. It is shown that in one space dimension, an initial singularity at the origin propagates along the characteristic lines emanating …