The unbounded growth of solutions of linear parabolic differential equations

Piotr Besala; Paul Fife

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1966)

  • Volume: 20, Issue: 4, page 719-732
  • ISSN: 0391-173X

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Besala, Piotr, and Fife, Paul. "The unbounded growth of solutions of linear parabolic differential equations." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 20.4 (1966): 719-732. <http://eudml.org/doc/83403>.

@article{Besala1966,
author = {Besala, Piotr, Fife, Paul},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {partial differential equations},
language = {eng},
number = {4},
pages = {719-732},
publisher = {Scuola normale superiore},
title = {The unbounded growth of solutions of linear parabolic differential equations},
url = {http://eudml.org/doc/83403},
volume = {20},
year = {1966},
}

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 - Classe di Scienze
PY - 1966
PB - Scuola normale superiore
VL - 20
IS - 4
SP - 719
EP - 732
LA - eng
KW - partial differential equations
UR - http://eudml.org/doc/83403
ER -

References

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  1. [1] Bodanko, W., Sur le problème de Cauchy et les problèmes de Fourier pour les équations paraboliques dans un domaine non borné, Ann. Polon. Math. (in press.). Zbl0139.05504MR197998
  2. [2] Friedman, A., Boundary estimates for second order parabolic equations and their applications. J. Math. Mech.7, No. 5, 771-791 (1958). Zbl0082.30601MR108648
  3. [3] I, A.M., 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). MR126623
  4. [4] » A. M., A.S. Kalašhnikov, and O.A. Oleinik, Linear second order equations of parabolic type, Usp. Matem. Nauk. S. S. S. R. 17, 3-146 (1962). Translated in : Russian Math. Surveys17, 1-143 (1962). Zbl0108.28401MR138888
  5. [5] » A. M., and R.Z. Kas'minskii, Asymptotic behavior of solutions of parabolic equations and ergodic properties of inhomogeneous diffusion processes. (Russian)Mat. Sbornik.60, 366-392 (1963). Zbl0173.37802MR149112
  6. [6] Meyers, N. and Serrin, J.The exterior Dirichlet problem for second order elliptic partial differential equations. J. Math. Mech.9, 513-538 (1960). Zbl0094.29701MR117421
  7. [7] Szybiak, A.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). Zbl0147.08802

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