| Title:
|
Local solvability of diagonal semilinear parabolic systems (English) |
| Author:
|
Dłotko, Tomasz |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
41 |
| Issue:
|
4 |
| Year:
|
1991 |
| Pages:
|
634-640 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35K40 |
| MSC:
|
35K50 |
| MSC:
|
35K55 |
| idZBL:
|
Zbl 0789.35003 |
| idMR:
|
MR1134953 |
| DOI:
|
10.21136/CMJ.1991.102495 |
| . |
| Date available:
|
2008-06-09T15:42:06Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102495 |
| . |
| Reference:
|
[1] P. Acquistapace B. Terreni: On quasilinear parabolic systems.Math. Ann. 282 (1988), 315-335. MR 0963019, 10.1007/BF01456978 |
| Reference:
|
[2] H. Amann: Parabolic evolution equations and nonlinear boundary conditions.J. Differential Equations 72, 2 (1988), 201-269. Zbl 0658.34011, MR 0932367, 10.1016/0022-0396(88)90156-8 |
| Reference:
|
[3] T. Dlotko: Local solvability of semilinear parabolic equations.Hokkaido Math.J., in print. Zbl 0765.35025, MR 1134982 |
| Reference:
|
[4] A. Friedman: Partial Differential Equations of Parabolic Type.Prentice-Hall INC, Englewood Cliffs, N.J., 1964. Zbl 0144.34903, MR 0181836 |
| Reference:
|
[5] L. I. Kamynin V. A. Maslennikova: Boundary estimates of the solution to the problem involving the skew derivative for a parabolic equation in non-cylindrical region.Dokl. Akad. Nauk SSSR 160, 3 (1965), 523-526. |
| Reference:
|
[6] A. A. Kiselev O. A. Ladyženskaja: Existence and uniqueness of a solution of non-stationary problem for viscous incompressible fluid.Izv. Akad. Nauk SSSR 21 (1957), 655 - 680. MR 0100448 |
| Reference:
|
[7] О. А. Ladyženskaja V. A. Solonnikov N. N. Uraľceva: Linear and Quasilinear Equations of Parabolic Type.Amer. Math. Soc., Providence, R.I., 1968. |
| Reference:
|
[8] O. A. Ladyženskaja N. N. Uraľceva: Linear and Quasilinear Elliptic Equations.Academic Press, 1968. MR 0244627 |
| Reference:
|
[9] F. Rothe: Global Solutions of Reaction-Diffusion Systems.Springer-VerIag, New York, 1984. Zbl 0546.35003, MR 0755878 |
| Reference:
|
[10] F. Rothe: A priori estimates for reaction-diffusion systems.in: Nonlinear Diffusion Equations and Their Equilibrium States. II, W.-M. Ni, L. A. Peletier, J. Serrin (Eds.), Springer-Verlag, 1988, 234-244. Zbl 0664.35050, MR 0956090 |
| . |
