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• W2952056510 abstract "We set-up and solve the Cauchy problem for Schrodinger-type differential operators with generalized functions as coefficients, in particular, allowing for distributional coefficients in the principal part. Equations involving such kind of operators appeared in models of deep earth seismology. We prove existence and uniqueness of Colombeau generalized solutions and analyze the relations with classical and distributional solutions. Furthermore, we provide a construction of generalized initial values that may serve as square roots of arbitrary probability measures." @default.
• W2952056510 created "2019-06-27" @default.
• W2952056510 creator A5015233034 @default.
• W2952056510 date "2009-09-30" @default.
• W2952056510 modified "2023-09-27" @default.
• W2952056510 title "The Cauchy problem for Schrodinger-type partial differential operators with generalized functions in the principal part and as data" @default.
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• W2952056510 hasPublicationYear "2009" @default.
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