We consider the boundary value problem for a mixed type equation outside a disk with differentiable conditions on the boundary of the disk. We prove the existence of a solution that is bounded at infinity. Bibliography: 3 titles.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. A. Kasten, “Global normal form of a mixed type equation outside a disk in the plane” [in Russian], In: Intern. Conf. Diff. Uravn. Dinam. Sist., Suzdal’, July 2–7, 2010, P. 100, Suzdal’ (2010).
A. V. Bitzadze, Equations of Mathematical Physics [In Russian], Nauka, Moscow (1982).
M. Abramovich and I. Stigan, Reference-Book on Special Functions [in Russian], Nauka, Moscow (1979).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Problemy Matematicheskogo Analiza 67, November 2012, pp. 85–90.
Rights and permissions
About this article
Cite this article
Kasten, J.A. Solvability of the boundary value problem for a Tricomi type equation in the exterior of a disk. J Math Sci 188, 268–272 (2013). https://doi.org/10.1007/s10958-012-1125-4
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10958-012-1125-4