Time-weighted estimates in Lorentz spaces and self-similarity for wave equations with singular potentials
Time-weighted estimates in Lorentz spaces and self-similarity for wave equations with singular potentials
We show time-weighted estimates in Lorentz spaces for the linear wave equation with singular potential.As a consequence, assuming radial symmetry on initial data and potentials, we obtain well-posedness of global solutions in critical weak-L p spaces for semilinear wave equations.In particular, we can consider the Hardy potential V .x/D cjxj …