Estimates for the Dirichlet-wave Equation and Applications to Nonlinear Wave Equations


We shall mainly concern ourselves with the physically important case where the spatial dimension n equals 3. It is considerably easier to prove estimates for the wave equation in odd-spatial dimensions in part because of the fact that the sharp Huygens principle holds in this case for solutions of the boundaryless wave equation in Minkowski space R+×R. By… (More)