Local solvability of diagonal semilinear parabolic systems
Czechoslovak Mathematical Journal, Tome 41 (1991) no. 4, pp. 634-640
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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DOI : 10.21136/CMJ.1991.102495
Classification : 35K40, 35K50, 35K55
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Dłotko, Tomasz. Local solvability of diagonal semilinear parabolic systems. Czechoslovak Mathematical Journal, Tome 41 (1991) no. 4, pp. 634-640. doi: 10.21136/CMJ.1991.102495

[1] P. Acquistapace B. Terreni: On quasilinear parabolic systems. Math. Ann. 282 (1988), 315-335. | DOI | MR

[2] H. Amann: Parabolic evolution equations and nonlinear boundary conditions. J. Differential Equations 72, 2 (1988), 201-269. | DOI | MR | Zbl

[3] T. Dlotko: Local solvability of semilinear parabolic equations. Hokkaido Math.J., in print. | MR | Zbl

[4] A. Friedman: Partial Differential Equations of Parabolic Type. Prentice-Hall INC, Englewood Cliffs, N.J., 1964. | MR | Zbl

[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.

[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

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

[8] O. A. Ladyženskaja N. N. Uraľceva: Linear and Quasilinear Elliptic Equations. Academic Press, 1968. | MR

[9] F. Rothe: Global Solutions of Reaction-Diffusion Systems. Springer-VerIag, New York, 1984. | MR | Zbl

[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. | MR | Zbl

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