Recent Advances in Regularity of Second-order Hyperbolic Mixed Problems, and Applications
Recent Advances in Regularity of Second-order Hyperbolic Mixed Problems, and Applications
The present paper centers on second-order hyperbolic equations in the unknownw(t,x): (1.1) $${w_{tt}} + A(x,\partial )w = f{\text{ in }}\Omega =(0,T]x\Omega $$ augmented by initial conditions (1.2) $$w(0, \cdot ) = {w_0};{\text{ }}{w_t}(0, \cdot ) = {w_1}{\text{ in }}\Omega $$ and suitable boundary conditions either of Dirichlet type (1.3D) $$w{|_\Sigma …