This is a preview of subscription content, log in via an institution to check access.
Literature Cited
O. A. Oleinik and S. N. Kruzhkov, Quasi-linear second-order parabolic equations with many independent variables, Uspekhi matem. nauk,17, 5, 115–155 (1961).
A. M. Il'in, A. S. Kalashnikov, and O. A. Oleinik, Linear second-order equations of the parabolic type, Uspekhi matem. nauk,17, 3, 3–146 (1962).
A. Friedman, Boundary estimates for second-order parabolic equations and their applications, J. Math. and Mech.,7, 5, 771–791 (1958).
I. I. Shmulev, Bounded solutions of boundary value problems without initial conditions for parabolic equations and inverse boundary value problems, DAN SSSR,142, 1, 46–49 (1962).
S. N. Bernshtein, Collected Works, Vol. 1 [in Russian], Izd. Ak. Nauk SSSR, Moscow (1960), Vol. 3.
A. Friedman, Interior estimates for parabolic systems of partial differential equations, J. Math. and Mech.,7, 3, 393–417 (1958).
A. Friedman, On quasi-linear parabolic equations of the second order. II, J. Math. and Mech.,9, 4, 539–556 (1960).
O. A. Ladyzhenskaya and N. N. Ural'tseva, A boundary value problem for linear and quasi-linear parabolic equations. I, Izv. Ak. Nauk SSSR, seriya matem.,26, 1, 5–52 (1962).
S. Zaidman, Soluzioni limitate e quasi-periodiche dell' equazione del calore non-omogenea [Bounded and quasi-periodic solutions of the inhomogeneous heat equation], Atti Accad. naz. Lincei,31, 6, 362–368 (1961).
S. Zaidman, Soluzioni limitate e quasi-periodiche dell' equazione del calore non-omogenea. II, Atti Accad. naz. Lincei,32, 1, 30–37 (1962).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 7, No. 3, pp. 685–698, May–June, 1966.
Rights and permissions
About this article
Cite this article
Shmulev, I.I. Quasi-periodic solutions of a parabolic equation. Sib Math J 7, 550–560 (1966). https://doi.org/10.1007/BF00966251
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00966251