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On the Cauchy problem for wave equations with time-dependent coefficients

Tamotu Kinoshita, Karen Yagdjian


We investigate the issue of the Lp − Lq estimates for the Gellerstedt operator and generalized Tricomi operator in the domain where the operators are hyperbolic. A special attention is given to the case of the Cauchy problem with the initial data given outside of the set where characteristics coincide.


Gellerstedt equation, generalized Tricomi equation, Lp − Lq estimates.

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