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- W2106286861 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 [J. Math. Anal. Appl. 160 (1991) 93–106, J. Math. Anal. Appl. 142 (1989) 452–467]." @default.
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- W2106286861 date "2004-05-01" @default.
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- W2106286861 title "First-order hyperbolic pseudodifferential equations with generalized symbols" @default.
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- W2106286861 doi "https://doi.org/10.1016/j.jmaa.2003.12.013" @default.
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