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Note on a Singular Initial-Boundary Value Problem

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Singularities in Boundary Value Problems

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 65))

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Abstract

  1. 1.

    The classical Euler-Poisson-Darboux equation in โ„2 is

$$\frac{{{\partial ^2}u}}{{\partial {y^2}}} - \frac{{{\partial ^2}u}}{{\partial {x^2}}} - \frac{{2\mu }}{x}\,\,\,\,\frac{{\partial u}}{{\partial x}} = 0\,\,,$$
(1.1)

where ยต is a complex number.

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References

  1. Carroll, R.W., and Showalter, R.E., โ€œSingular and degenerate Cauchy problemsโ€, Acad. Press, New York-San Francisco-London, 1976.

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ยฉ 1981 D. Reidel Publishing Company

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Friedlander, F.G. (1981). Note on a Singular Initial-Boundary Value Problem. 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_3

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  • DOI: https://doi.org/10.1007/978-94-009-8434-9_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-8436-3

  • Online ISBN: 978-94-009-8434-9

  • eBook Packages: Springer Book Archive

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