Stabilization of solutions of abstract parabolic equations

Jozef Kačur

Czechoslovak Mathematical Journal (1980)

  • Volume: 30, Issue: 4, page 539-555
  • ISSN: 0011-4642

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Kačur, Jozef. "Stabilization of solutions of abstract parabolic equations." Czechoslovak Mathematical Journal 30.4 (1980): 539-555. <http://eudml.org/doc/13221>.

@article{Kačur1980,
author = {Kačur, Jozef},
journal = {Czechoslovak Mathematical Journal},
keywords = {abstract parabolic equations; coercive monotone operators; stabilization},
language = {eng},
number = {4},
pages = {539-555},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Stabilization of solutions of abstract parabolic equations},
url = {http://eudml.org/doc/13221},
volume = {30},
year = {1980},
}

TY - JOUR
AU - Kačur, Jozef
TI - Stabilization of solutions of abstract parabolic equations
JO - Czechoslovak Mathematical Journal
PY - 1980
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 30
IS - 4
SP - 539
EP - 555
LA - eng
KW - abstract parabolic equations; coercive monotone operators; stabilization
UR - http://eudml.org/doc/13221
ER -

References

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  3. F. E. Browder, Existence theorems for nonlinear partial differential equations, Global analysis, Proc. Symp. Pure Math. Vol. 16, Amer. Math. Soc. (1970), 1 - 60. (1970) MR0269962
  4. H. Brézis, Monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations, Contributions to Nonlinear Functional Analysis, E. Zarantonello ed. Acad. Press (1971). (1971) MR0394323
  5. V. Barbu, Semi-groups of nonlinear contractions in Banach spaces, (Rumanian), Academia, Bucharest, 1974. (1974) 
  6. H. Brézis, Opérateurs maximaux monotones et semigroups de contractions dans les espaces de Hilbert, Math. Studies, 5, North Holland, (1973). (1973) 
  7. H. Gajewski K. Gröger K., Zacharias, Theorie der nichtlinearen Operatoren und Differentialgleichungen, Academia-Verlag, Berlin, 1974. (1974) MR0636412
  8. J. Kačur, Method of Rothe and nonlinear parabolic boundary value problems of arbitrary order I, II, Czechoslovak Math. J., to appear. MR0506431
  9. J. Nečas, Application of Rothe's method to abstract parabolic equations, Czechoslovak Math. J., Zbl0311.35059
  10. J. Kačur, Applications of Rothe's method to nonlinear evolution equations, Mat. Časopis Sloven. Akad. Vied, 25, (1975), N-1, 63-81. (1975) MR0394344
  11. С. V. Pao, 10.1007/BF00248493, Arch. Rational Mech. Anal. 35, (1969), 30-46. (1969) Zbl0187.08801MR0245951DOI10.1007/BF00248493
  12. J. A. Dubinskij, Quasilinear elliptic and parabolic equations of arbitrary order, (Russian), Uspehi Mat. Nauk, 23, 1 (1968), 45-90. (1968) Zbl0162.42303MR0228826
  13. R. Bellman, Stability theory of differential equations, New York-Toronto-London, 1953. (1953) Zbl0053.24705MR0061235
  14. M. A. Krasnoselskij, Topological methods in the theory of nonlinear integral equations, Pergamon Press, New York, 1964. (1964) 
  15. K. Yosida, Functional Analysis, Springer, Berlin-Heidelberg-New York, 1969. (1969) MR0500055

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