Summary.
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.
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Received: October 3, 2000 Published online: December 19, 2001
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Dreher, M., Witt, I. Edge Sobolev spaces and weakly hyperbolic equations. Ann. Mat. Pura Appl. IV. Ser. 180, 451–482 (2002). https://doi.org/10.1007/s102310100023
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DOI: https://doi.org/10.1007/s102310100023