Abstract
The general initial-boundary problem for a second order hyperbolic equation is considered for two classes of domains: domains with boundaries which are strictly concave with respect to the bicharacteristics of the hyperbolic operator and domains with boundaries strictly convex with respect to these bicharacteristics. The exposition is given for the model equations although all results can be extended to the general case. Propagation of singularities of solutions is also studied.
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Eskin, G. (1981). General Initial-Boundary Problems for Second Order Hyperbolic Equations. In: Garnir, H.G. (eds) Singularities in Boundary Value Problems. NATO Advanced Study Institutes Series, vol 65. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8434-9_2
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DOI: https://doi.org/10.1007/978-94-009-8434-9_2
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