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Perturbation of homogeneous parabolic pseudodifferential equations by locally unbounded vector fields

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Abstract

We construct solutions of homogeneous pseudodifferential equations of parabolic type perturbed by locally unbounded vector fields. We investigate some properties of these solutions.

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References

  1. A. N. Kochubei, “Parabolic pseudodifferential equations, hypersingular integrals, and Markovian processes,” Izv. Akad. Nauk SSSR, 52, No. 5, 909–934 (1988).

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  2. S. I. Podolinnyi and N. I. Portenko, “On multidimensional stable processes with locally unbounded drift,” Random Oper. Stochast. Eq., 3, No. 2, 113–124 (1995).

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Authors
  1. S. I. Podolinnyi
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 11, pp. 1561–1566, November, 1997.

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Podolinnyi, S.I. Perturbation of homogeneous parabolic pseudodifferential equations by locally unbounded vector fields. Ukr Math J 49, 1756–1762 (1997). https://doi.org/10.1007/BF02487515

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  • DOI: https://doi.org/10.1007/BF02487515

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