@article{ASNSP_1966_3_20_4_719_0,
author = {Besala, Piotr and Fife, Paul},
title = {The unbounded growth of solutions of linear parabolic differential equations},
journal = {Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche},
pages = {719--732},
year = {1966},
publisher = {Scuola normale superiore},
volume = {Ser. 3, 20},
number = {4},
mrnumber = {206466},
zbl = {0156.33402},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1966_3_20_4_719_0/}
}
TY - JOUR AU - Besala, Piotr AU - Fife, Paul TI - The unbounded growth of solutions of linear parabolic differential equations JO - Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche PY - 1966 SP - 719 EP - 732 VL - 20 IS - 4 PB - Scuola normale superiore UR - https://www.numdam.org/item/ASNSP_1966_3_20_4_719_0/ LA - en ID - ASNSP_1966_3_20_4_719_0 ER -
%0 Journal Article %A Besala, Piotr %A Fife, Paul %T The unbounded growth of solutions of linear parabolic differential equations %J Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche %D 1966 %P 719-732 %V 20 %N 4 %I Scuola normale superiore %U https://www.numdam.org/item/ASNSP_1966_3_20_4_719_0/ %G en %F ASNSP_1966_3_20_4_719_0
Besala, Piotr; Fife, Paul. The unbounded growth of solutions of linear parabolic differential equations. Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Série 3, Tome 20 (1966) no. 4, pp. 719-732. https://www.numdam.org/item/ASNSP_1966_3_20_4_719_0/
[1] , Sur le problème de Cauchy et les problèmes de Fourier pour les équations paraboliques dans un domaine non borné, Ann. Polon. Math. (in press.). | Zbl | MR
[2] , Boundary estimates for second order parabolic equations and their applications. J. Math. Mech. 7, No. 5, 771-791 (1958). | Zbl | MR
[3] , The behavior of the solution of the Cauchy problem for a parabolic equation under unrestricted growth of time, Usp. Mathem. Nauk. S. S. S. R. 16, 115-121 (1961). | MR
[4] » A. M., , and , Linear second order equations of parabolic type, Usp. Matem. Nauk. S. S. S. R. 17, 3-146 (1962). Translated in : Russian Math. Surveys 17, 1-143 (1962). | Zbl | MR
[5] » A. M., and , Asymptotic behavior of solutions of parabolic equations and ergodic properties of inhomogeneous diffusion processes. (Russian) Mat. Sbornik. 60, 366-392 (1963). | Zbl | MR
[6] and The exterior Dirichlet problem for second order elliptic partial differential equations. J. Math. Mech. 9, 513-538 (1960). | Zbl | MR
[7] On the asymptotic behavior of the solutions of the equation Δu - ∂u/∂t + + c(x)u=0. Bull. Acad. Polon. Sci. Ser. Sci. Math. Astr. Phys. 7, 183-186 (1959). | Zbl






