Abstract
We construct solutions of homogeneous pseudodifferential equations of parabolic type perturbed by locally unbounded vector fields. We investigate some properties of these solutions.
References
A. N. Kochubei, “Parabolic pseudodifferential equations, hypersingular integrals, and Markovian processes,” Izv. Akad. Nauk SSSR, 52, No. 5, 909–934 (1988).
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).
Additional information
Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 11, pp. 1561–1566, November, 1997.
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02487515