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- W2949598063 abstract "We consider the Cauchy problem for a hyperbolic pseudodifferential operator whose symbol is generalized, resembling a representative of a Colombeau generalized function. Such equations arise, for example, after a reduction-decoupling of second-order model systems of differential equations in seismology. We prove existence of a unique generalized solution under log-type growth conditions on the symbol, thereby extending known results for the case of differential operators with generalized functions as coefficients." @default.
- W2949598063 created "2019-06-27" @default.
- W2949598063 creator A5065653243 @default.
- W2949598063 date "2003-07-31" @default.
- W2949598063 modified "2023-09-27" @default.
- W2949598063 title "First-order hyperbolic pseudodifferential equations with generalized symbols" @default.
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