| Title:
|
Stabilization of solutions of abstract parabolic equations (English) |
| Author:
|
Kačur, Jozef |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
30 |
| Issue:
|
4 |
| Year:
|
1980 |
| Pages:
|
539-555 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
34G20 |
| MSC:
|
47H05 |
| idZBL:
|
Zbl 0499.35059 |
| idMR:
|
MR592318 |
| DOI:
|
10.21136/CMJ.1980.101703 |
| . |
| Date available:
|
2008-06-09T14:41:01Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101703 |
| . |
| Reference:
|
[1] J. L. Lions: Quelques méthodes de résolution des problémes aux limites non linéaires.Dunod Gauthier-Villars, Paris, 1969. Zbl 0189.40603, MR 0259693 |
| Reference:
|
[2] F. E. Browder: Non-linear initial value problems.Ann. of Math., 82, (1965), 51 - 87. Zbl 0131.13502, MR 0208113, 10.2307/1970562 |
| Reference:
|
[3] F. E. Browder: Existence theorems for nonlinear partial differential equations, Global analysis.Proc. Symp. Pure Math. Vol. 16, Amer. Math. Soc. (1970), 1 - 60. MR 0269962 |
| Reference:
|
[4] H. Brézis: Monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations, Contributions to Nonlinear Functional Analysis.E. Zarantonello ed. Acad. Press (1971). MR 0394323 |
| Reference:
|
[5] V. Barbu: Semi-groups of nonlinear contractions in Banach spaces.(Rumanian), Academia, Bucharest, 1974. |
| Reference:
|
[6] H. Brézis: Opérateurs maximaux monotones et semigroups de contractions dans les espaces de Hilbert.Math. Studies, 5, North Holland, (1973). |
| Reference:
|
[7] H. Gajewski K. Gröger K., Zacharias: Theorie der nichtlinearen Operatoren und Differentialgleichungen.Academia-Verlag, Berlin, 1974. MR 0636412 |
| Reference:
|
[8] J. Kačur: Method of Rothe and nonlinear parabolic boundary value problems of arbitrary order I, II.Czechoslovak Math. J., to appear. MR 0506431 |
| Reference:
|
[9] J. Nečas: Application of Rothe's method to abstract parabolic equations.Czechoslovak Math. J., Zbl 0311.35059 |
| Reference:
|
[10] J. Kačur: Applications of Rothe's method to nonlinear evolution equations.Mat. Časopis Sloven. Akad. Vied, 25, (1975), N-1, 63-81. MR 0394344 |
| Reference:
|
[11] С. V. Pao: On the stability of nonlinear operator differential equations and applications.Arch. Rational Mech. Anal. 35, (1969), 30-46. Zbl 0187.08801, MR 0245951, 10.1007/BF00248493 |
| Reference:
|
[12] J. A. Dubinskij: Quasilinear elliptic and parabolic equations of arbitrary order.(Russian), Uspehi Mat. Nauk, 23, 1 (1968), 45-90. Zbl 0162.42303, MR 0228826 |
| Reference:
|
[13] R. Bellman: Stability theory of differential equations.New York-Toronto-London, 1953. Zbl 0053.24705, MR 0061235 |
| Reference:
|
[14] M. A. Krasnoselskij: Topological methods in the theory of nonlinear integral equations.Pergamon Press, New York, 1964. |
| Reference:
|
[15] K. Yosida: Functional Analysis.Springer, Berlin-Heidelberg-New York, 1969. MR 0500055 |
| . |
