Skip to main content
Log in

Diffusion in a plane with reflection. The boundary problem

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. N. V. Krylov, “Diffusion in a plane with reflection. Construction of the process,” Sibirsk. Matem. Zh.,10, No. 2, 302–313 (1969).

    Google Scholar 

  2. I. N. Vekua, Generalized Analytical Functions [in Russian], Fizmatgiz, Moscow (1959).

    Google Scholar 

  3. M. B. Malyutov, “Problems involving the directional derivative in three-dimensional space,” Dokl. Akad. Nauk SSSR,172, No. 2, 283–287 (1967).

    Google Scholar 

  4. Yu. V. Egorov and V. A. Kondrat'ev, “On the existence of solutions of the problem involving a direcderivative,” Uspekhi Matem. Nauk,22, No. 1, 165–167 (1967).

    Google Scholar 

  5. A. L. Rozental, “Some generalizations of the boundary problem involving a directional derivative,” Teoriya veoroyatn. i ee Primen.,12, No. 2, 380–386 (1967).

    Google Scholar 

  6. E. B. Dynkin, Markov Processes [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  7. O. A. Ladyzhenskaya and N. N. Ural'tseva, Linear and Quasilinear Elliptic Equations [in Russian], Nauka, Moscow (1964).

    Google Scholar 

  8. L. Nirnberg, “An extended interpolation inequality,” Ann. Scuola Norm. Super. Pisa, Ser. 3,20, No. 4, 733–734 (1966).

    Google Scholar 

  9. N. V. Krylov, “The first boundary problem for second-order elliptic equations,” Diff. Uravneniya,3, No. 2, 315–326 (1967).

    Google Scholar 

  10. N. V. Krylov, Quasidiffusion processes,” Teoriya Veroyatn. i Ee Primen.,11, No. 3, 424–443 (1966).

    Google Scholar 

  11. A. D. Aleksandrov, “Uniqueness conditions and bounds on the solution of the Dirichlet problem,” Vestnik Leningr. Gos. Un-ta, Seriya Matem.,13, No. 3, 5–29 (1963).

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 10, No. 2, pp. 355–372, March–April, 1969.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krylov, N.V. Diffusion in a plane with reflection. The boundary problem. Sib Math J 10, 253–265 (1969). https://doi.org/10.1007/BF00970437

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00970437

Keywords

Navigation