Edge Sobolev spaces and weakly hyperbolic equations
M. Dreher and I. Witt
Abstract.
Edge Sobolev spaces are proposed as a main new tool for the
investigation of weakly hyperbolic equations. The well-posedness of
the linear and semilinear Cauchy problem in the class of these edge
Sobolev spaces is proved. An application to the propagation of
singularities for solutions to the semilinear problem is considered.
Ann. Mat. Pura Appl. (4)
180
(2002),
451-482.
The paper is available here:
pdf.
