| Title:
|
On the asymptotic behavior of solutions of parabolic equations (English) |
| Author:
|
Kahane, Charles S. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
33 |
| Issue:
|
2 |
| Year:
|
1983 |
| Pages:
|
262-285 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B40 |
| MSC:
|
35K99 |
| idZBL:
|
Zbl 0534.35051 |
| idMR:
|
MR699025 |
| DOI:
|
10.21136/CMJ.1983.101876 |
| . |
| Date available:
|
2008-06-09T14:54:17Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101876 |
| . |
| Reference:
|
[1] R. A. Adams: Sobolev Spaces.Academic Press, New York, 1975. Zbl 0314.46030, MR 0450957 |
| Reference:
|
[2] R. Arima: On general boundary value problems for parabolic equations.J. Math. Kyoto Univ. 4-1 (1964), 207-243. MR 0197997 |
| Reference:
|
[3] A. Friedman: Partial Differential Equations of Parabolic Type.Prentice Hall Inc., Englewood Cliffs, 1964. Zbl 0144.34903, MR 0181836 |
| Reference:
|
[4] A. Friedman: Partial Differential Equations.Holt, Rinehart and Winston Inc., New York, 1969. Zbl 0224.35002, MR 0445088 |
| Reference:
|
[5] E. Gagliardo: Proprietà di alcune classi di funzioni in pui variabili.Ricerche di Mat. 7 (1958), 102-137. MR 0102740 |
| Reference:
|
[6] E. Gagliardo: Ulteriori propriétà di alcune classi di funzioni in pui variabili.Ricerche di Mat. 8 (1959), 24-51. MR 0109295 |
| Reference:
|
[7] R. A. Gardner: Asymptotic behavior of semilinear reaction-diffusion systems with Dirichlet boundary conditions.Indiana Univ. Math. J. 29 (1980), 161-190. MR 0563205, 10.1512/iumj.1980.29.29012 |
| Reference:
|
[8] R. A. Gardner: Global stability of stationary solutions of reaction-diffusion systems.J. Diff. Eqs. 37 (1980), 60-69. Zbl 0413.34058, MR 0583339, 10.1016/0022-0396(80)90088-1 |
| Reference:
|
[9] D. Gilbarg, N. S. Trudinger: Elliptic Partial Differential Equations of Second Order.Springer Verlag, Berlin, 1977. Zbl 0361.35003, MR 0473443 |
| Reference:
|
[10] G. H. Hardy J. E. Littlewood, G. Polya: Inequalities.2nd ed., Cambridge University Press, Cambridge, 1952. MR 0046395 |
| Reference:
|
[11] A. M. Il'in A. S. Kalashnikov, O. A. Oleinek: Second order linear equations of parabolic type.Russian Math. Surveys 17, No. 3 (1962), 1-143. MR 0138888, 10.1070/RM1962v017n03ABEH004115 |
| Reference:
|
[12] S. Itô: A boundary value problem of partial differential equations of parabolic type.Duke Math. J. 24, (1957), 299-312. MR 0090751 |
| Reference:
|
[13] S. Itô: Fundamental solutions of parabolic differential equations and boundary value problems.Japan J. Math. 27 (1957), 55-102. MR 0098240, 10.4099/jjm1924.27.0_55 |
| Reference:
|
[14] C. S. Kahane: On a system of nonlinear parabolic equations arising in chemical engineering.J. Math. Anal. Appl. 53 (1976), 343-358. Zbl 0326.35044, MR 0404860, 10.1016/0022-247X(76)90114-1 |
| Reference:
|
[15] O. A. Ladyzhenskaja V. A. Solonnikov, N. N. Ural'ceva: Linear and Quasilinear Equations of Parabolic Type.Amer. Math. Soc., Providence, 1968. |
| Reference:
|
[16] С. В. Morrey, Jr.: Multiple Integrals in the Calculus of Variations.Springer Verlag, New York, 1966. Zbl 0142.38701, MR 0202511 |
| Reference:
|
[17] J. Nash: Continuity of the solutions of parabolic and elliptic equations.Amer. J. Math. 80 (1958), 931-954. MR 0100158, 10.2307/2372841 |
| Reference:
|
[18] L. Nirenberg: On elliptic partial differential equations.Ann. Scuo. Norm. Pisa 13 (3) (1959), 1-48. Zbl 0088.07601, MR 0109940 |
| Reference:
|
[19] W. Pogorzelski: Etude d'un function de Green et du problème aux limites pour l'équation parabolique normale.Ann. Polon. Math. 4 (1958), 288-307. MR 0106344 |
| Reference:
|
[20] G. F. Webb: A determinitic diffusive epidemic model with an incubation period.Proceedings of the Functional Differential and Integral Equations Conference held at West Virginia University, June 18-20, 1979 (to appear). MR 0617043 |
| . |
