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A diffusion process on a plane with membranes on two intersecting straight lines

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Ukrainian Mathematical Journal Aims and scope

Abstract

We construct a generalized diffusion process in ℝ2 with the unit diffusion matrix and a drift vector with δ-functions concentrated on two intersecting straight lines.

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References

  1. M. I. Portenko,Diffusion in Media with Semitransparent Membranes [in Ukrainian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1994).

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  2. O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva,Linear and Quasilinear Parabolic Equations [in Russian], Nauka, Moscow (1967).

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  3. N. I. Portenko,Generalized Diffusion Processes, Amer. Math. Soc., Providence, Rhode Island (1990).

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Authors
  1. O. V. Panamarchuk
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 9, pp. 1210–1216, September, 1999.

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Panamarchuk, O.V. A diffusion process on a plane with membranes on two intersecting straight lines. Ukr Math J 51, 1362–1369 (1999). https://doi.org/10.1007/BF02593003

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  • DOI: https://doi.org/10.1007/BF02593003

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