Local solvability of diagonal semilinear parabolic systems
Dłotko, Tomasz
Czechoslovak Mathematical Journal, Tome 41 (1991), p. 634-640 / Harvested from Czech Digital Mathematics Library
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Publié le : 1991-01-01
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@article{102495,
     author = {Tomasz D\l otko},
     title = {Local solvability of diagonal semilinear parabolic systems},
     journal = {Czechoslovak Mathematical Journal},
     volume = {41},
     year = {1991},
     pages = {634-640},
     zbl = {0789.35003},
     mrnumber = {1134953},
     language = {en},
     url = {http://dml.mathdoc.fr/item/102495}
}

Dłotko, Tomasz. Local solvability of diagonal semilinear parabolic systems. Czechoslovak Mathematical Journal, Tome 41 (1991) pp. 634-640. http://gdmltest.u-ga.fr/item/102495/

P. Acquistapace B. Terreni On quasilinear parabolic systems, Math. Ann. 282 (1988), 315-335. (1988) | Article | MR 0963019

H. Amann Parabolic evolution equations and nonlinear boundary conditions, J. Differential Equations 72, 2 (1988), 201-269. (1988) | Article | MR 0932367 | Zbl 0658.34011

T. Dlotko Local solvability of semilinear parabolic equations, Hokkaido Math.J., in print. | MR 1134982 | Zbl 0765.35025

A. Friedman Partial Differential Equations of Parabolic Type, Prentice-Hall INC, Englewood Cliffs, N.J., 1964. (1964) | MR 0181836 | Zbl 0144.34903

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. (1965)

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. (1957) | MR 0100448

О. А. Ladyženskaja V. A. Solonnikov N. N. Uraľceva Linear and Quasilinear Equations of Parabolic Type, Amer. Math. Soc., Providence, R.I., 1968. (1968)

O. A. Ladyženskaja N. N. Uraľceva Linear and Quasilinear Elliptic Equations, Academic Press, 1968. (1968) | MR 0244627

F. Rothe Global Solutions of Reaction-Diffusion Systems, Springer-VerIag, New York, 1984. (1984) | MR 0755878 | Zbl 0546.35003

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. (1988) | MR 0956090 | Zbl 0664.35050