| Title:
|
On weak solutions to a viscoelasticity model (English) |
| Author:
|
Milota, Jaroslav |
| Author:
|
Nečas, Jindřich |
| Author:
|
Šverák, Vladimír |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
31 |
| Issue:
|
3 |
| Year:
|
1990 |
| Pages:
|
557-565 |
| . |
| Category:
|
math |
| . |
| MSC:
|
45K05 |
| MSC:
|
49J52 |
| MSC:
|
49M15 |
| MSC:
|
73F99 |
| MSC:
|
74D05 |
| MSC:
|
74D10 |
| MSC:
|
74D99 |
| idZBL:
|
Zbl 0719.73014 |
| idMR:
|
MR1078489 |
| . |
| Date available:
|
2008-06-05T21:45:21Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106890 |
| . |
| Reference:
|
[1] Coleman B. D., Mizel V. J.: On the general theory of fading memory.Arch. Rat. Mech. 29 (1968), 18-31. Zbl 0167.24704, MR 0226901 |
| Reference:
|
[2] Coleman B. D., Noll W.: An approximation theorem for functionals with applications in continuum mechanics.Arch. Rat. Mech. Anal. 6 (I960), 355-370. Zbl 0097.16403, MR 0119598 |
| Reference:
|
[3] Engler H.: Weak solutions of a class of quasilinear hyperbolic integro-differential equations describing viscoelastic materials.(preprint). Zbl 0832.45009, MR 1079180 |
| Reference:
|
[4] Lions J. L.: Quelques methodes de resolution problemes aux limites non lineaires.Dunod, Paris, 1969. MR 0259693 |
| Reference:
|
[5] Lions J. L., Magenes E.: Problemes aux limiies non homogenes et applications, Vol I.Dunod, Paris, 1968. |
| Reference:
|
[6] Londen S. O.: An existence result on a Volterra equation in a Banach space.TAMS 235 (1978), 285-304. Zbl 0376.45011, MR 0473770 |
| Reference:
|
[7] Miller R. K.: Nonlinear Volterra Integral Equations.Benjamin, 1971. Zbl 0448.45004, MR 0511193 |
| Reference:
|
[8] Minty G.: Monotone (nonlinear) operators in a Hilbert space.Duke Math. J. 29 (1962), 341-348. MR 0169064 |
| Reference:
|
[9] Nohel J. A., Rogers R. C., Tzavaras A. E.: Weak solutions for a nonlinear system in viscoelasticity.Coram. Part. Diff. Eqs. 13 (1988), 97-127. Zbl 0635.73047, MR 0914816 |
| Reference:
|
[10] Renardy M., Hrusa M. J., Nohel J. A.: Mathematical problems in viscoelasticity.Longman, 1987. Zbl 0719.73013 |
| Reference:
|
[11] Saut J. C., Joseph D. D.: Fading memory.Arch. Rat. Mech. Anal. 81 (1982), 53-95. MR 0679915 |
| . |
