Local solvability of diagonal semilinear parabolic systems

Tomasz Dłotko

Czechoslovak Mathematical Journal (1991)

  • Volume: 41, Issue: 4, page 634-640
  • ISSN: 0011-4642

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Dłotko, Tomasz. "Local solvability of diagonal semilinear parabolic systems." Czechoslovak Mathematical Journal 41.4 (1991): 634-640. <http://eudml.org/doc/13958>.

@article{Dłotko1991,
author = {Dłotko, Tomasz},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {4},
pages = {634-640},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Local solvability of diagonal semilinear parabolic systems},
url = {http://eudml.org/doc/13958},
volume = {41},
year = {1991},
}

TY - JOUR
AU - Dłotko, Tomasz
TI - Local solvability of diagonal semilinear parabolic systems
JO - Czechoslovak Mathematical Journal
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 41
IS - 4
SP - 634
EP - 640
LA - eng
UR - http://eudml.org/doc/13958
ER -

References

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  1. P. Acquistapace B. Terreni, 10.1007/BF01456978, Math. Ann. 282 (1988), 315-335. (1988) MR0963019DOI10.1007/BF01456978
  2. H. Amann, 10.1016/0022-0396(88)90156-8, J. Differential Equations 72, 2 (1988), 201-269. (1988) Zbl0658.34011MR0932367DOI10.1016/0022-0396(88)90156-8
  3. T. Dlotko, Local solvability of semilinear parabolic equations, Hokkaido Math.J., in print. Zbl0765.35025MR1134982
  4. A. Friedman, Partial Differential Equations of Parabolic Type, Prentice-Hall INC, Englewood Cliffs, N.J., 1964. (1964) Zbl0144.34903MR0181836
  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. (1965) 
  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. (1957) MR0100448
  7. О. А. Ladyženskaja V. A. Solonnikov N. N. Uraľceva, Linear and Quasilinear Equations of Parabolic Type, Amer. Math. Soc., Providence, R.I., 1968. (1968) 
  8. O. A. Ladyženskaja N. N. Uraľceva, Linear and Quasilinear Elliptic Equations, Academic Press, 1968. (1968) MR0244627
  9. F. Rothe, Global Solutions of Reaction-Diffusion Systems, Springer-VerIag, New York, 1984. (1984) Zbl0546.35003MR0755878
  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. (1988) Zbl0664.35050MR0956090

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