Linearized stability results in continuous interpolation spaces

A. Schiaffino; A. Tesei

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1984)

  • Volume: 11, Issue: 2, page 281-301
  • ISSN: 0391-173X

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Schiaffino, A., and Tesei, A.. "Linearized stability results in continuous interpolation spaces." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 11.2 (1984): 281-301. <http://eudml.org/doc/83932>.

@article{Schiaffino1984,
author = {Schiaffino, A., Tesei, A.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {interpolation techniques; asymptotic stability; stationary solution; quasilinear Cauchy problem; nonlinear diffusion problems},
language = {eng},
number = {2},
pages = {281-301},
publisher = {Scuola normale superiore},
title = {Linearized stability results in continuous interpolation spaces},
url = {http://eudml.org/doc/83932},
volume = {11},
year = {1984},
}

TY - JOUR
AU - Schiaffino, A.
AU - Tesei, A.
TI - Linearized stability results in continuous interpolation spaces
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1984
PB - Scuola normale superiore
VL - 11
IS - 2
SP - 281
EP - 301
LA - eng
KW - interpolation techniques; asymptotic stability; stationary solution; quasilinear Cauchy problem; nonlinear diffusion problems
UR - http://eudml.org/doc/83932
ER -

References

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  1. [1] J. Baillon, Caractère borné de certains générateurs de semigroups linéaires dans les espaces de Banach, C. R. Acad. Sc. Paris Série A, 290 (1980), pp. 757-760. Zbl0436.47027
  2. [2] G. Da Prato - P. Grisvard, Equations d'évolution abstraites non linéaires de type parabolique, Ann. Mat. Pura Appl., (IV), 120 (1979), pp. 329-396. Zbl0471.35036MR551075
  3. [3] G. Da Prato - P. Grisvard, Maximal regularity for evolution equations by interpolation and extrapolation, Preprint (1982). Zbl0593.47041MR757990
  4. [4] P. De Mottoni - A. Schiaffino - A. Tesei, Attractivity properties of non-negative solutions for a class of nonlinear degenerate parabolic problems, Ann. Mat. Pura Appl., (IV), in press. Zbl0556.35083
  5. [5] P. De Mottoni - G. Talenti - A. Tesei, Stability results for a class of nonlinear parabolic equations, Ann. Mat. Pura Appl., (IV), 115 (1977), pp. 295-310. Zbl0377.35039MR509750
  6. [6] K. Kirchgässner - J. Scheurle, Bifurcation, in: Dynamical systems: An international symposium, Vol. I, New York, Academic Press, 1967. MR601786
  7. [7] A. Lunardi, Interpolation spaces between domains of elliptic operators and spaces of continuous functions with applications to nonlinear parabolic equations, Math. Nachr., in press. Zbl0568.47035MR809327
  8. [8] M. Potier-Ferry, The linearization principle for the stability of solutions of quasilinear parabolic equations, I, Arch. Rational Mech. Anal., 77 (1981), pp. 301-320. Zbl0497.35006MR642550
  9. [9] E. Sinestrari, On the abstract Cauchy problem of parabolic type in spaces of continuous functions, J. Math. Anal. Appl., in press. Zbl0589.47042MR786012
  10. [10] H.B. Stewart, Generation of analytic semigroups by strongly elliptic operators, Trans. Am. Math. Soc., 199 (1974), pp. 141-162. Zbl0264.35043MR358067
  11. [11] H.B. Stewart, Generation of analytic semigroups by strongly elliptic operators under general boundary conditions, Trans. Am. Math. Soc., 259 (1980), pp. 299-310. Zbl0451.35033MR561838
  12. [12] H. Triebel, Interpolation theory, function spaces, differential operators, Amsterdam, North-Holland, 1978. Zbl0387.46032MR503903

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