Hölder regularity in non autonomous degenerate abstract parabolic equations

Anna Buttu

Rendiconti del Seminario Matematico della Università di Padova (1992)

  • Volume: 87, page 169-207
  • ISSN: 0041-8994

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Buttu, Anna. "Hölder regularity in non autonomous degenerate abstract parabolic equations." Rendiconti del Seminario Matematico della Università di Padova 87 (1992): 169-207. <http://eudml.org/doc/108248>.

@article{Buttu1992,
author = {Buttu, Anna},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {optimal Hölder regularity; evolution equations; analytic semigroups},
language = {eng},
pages = {169-207},
publisher = {Seminario Matematico of the University of Padua},
title = {Hölder regularity in non autonomous degenerate abstract parabolic equations},
url = {http://eudml.org/doc/108248},
volume = {87},
year = {1992},
}

TY - JOUR
AU - Buttu, Anna
TI - Hölder regularity in non autonomous degenerate abstract parabolic equations
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1992
PB - Seminario Matematico of the University of Padua
VL - 87
SP - 169
EP - 207
LA - eng
KW - optimal Hölder regularity; evolution equations; analytic semigroups
UR - http://eudml.org/doc/108248
ER -

References

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  1. [1] P. Acquistapace, Zygmund classes with boundary conditions as interpolation spaces, in: Proceedings of the Conference «Trends in Semigroup Theory and Applications» (Trieste, 1987), CLEMENT, INVERNIZZI, MITIDIERI, VRABIE (Editors), Lecture Notes in Pure and Applied Math., 116 (1989), pp. 1-20, M. Dekker, New York. Zbl0686.46021MR1009386
  2. [2] P. Acquistapace, Evolution operators and strong solutions of abstract linear parabolic equations, Differential Integral Equations, 1 (1988), pp. 433-457. Zbl0723.34046MR945820
  3. [3] P. Acquistapace - B. TERRENI, A unified approach to abstract linear non autonomous parabolic equations, Rend. Sem. Mat. Univ. Padova, 78 (1987), pp. 47-107. Zbl0646.34006MR934508
  4. [4] P. Acquistapace - B. TERRENI, Hölder classes with boundary conditions as interpolations spaces, Math. Z., 195 (1987), pp. 451-471. Zbl0635.35024MR900340
  5. [5] A. Buttu, On a class of abstract degenerate parabolic equations, Differential Integral Equations, 3 (1990), to appear. Zbl0719.34106MR1044212
  6. [6] G. Da Prato - P. Grisvard, Sommes d'operateurs lineares et equations differentielles operationelles, J. Math. Pure Appl., 54 (1975), pp. 305-387. Zbl0315.47009MR442749
  7. [7] A. Favini, Degenerate and singular evolution equations in Banach spaces, Math. Ann., 273 (1985), pp. 17-44. Zbl0556.34067MR814193
  8. [8] A. Favini - P. Plazzi, On some abstract degenerate problems of parabolic type: 2. The nonlinear case, Nonlinear Analysis, 13 (1989), pp. 23-31. Zbl0721.34070MR973365
  9. [9] A. Friedman - Z. Schuss, Degenerate evolution equations in Hilbert space, Trans. AMS, 161 (1971), pp. 401-427. Zbl0229.35053MR283623
  10. [10] M. Fuhrman, Bounded solutions for abstract time-periodic parabolic equations with nonconstant domains, Preprint Dip. Mat. Univ. Milano (1990). Zbl0729.34041MR1097914
  11. [11] A. Lunardi, On the evolution operator for abstract parabolic equations, Israel J. Math., 60 (1987), pp. 281-314. Zbl0655.47036MR937793
  12. [12] Z. Schuss, Regularity theorems for solutions of a degenerate evolution equation, Arch. Rational Mech. Anal., 46 (1972), pp. 200-211. Zbl0247.35063MR333389
  13. [13] E. Sinestrari, On the abstract Cauchy problem of parabolic type in spaces of continuous functions, J. Math. Anal. Appl., 107 (1985), pp. 16-66. Zbl0589.47042MR786012
  14. [14] H.B. Stewart, Generation of analytic semigroups by strongly elliptic operators under general boundary conditions, Trans. Am. Math. Soc., 259 (1980), pp. 200-310. Zbl0451.35033MR561838

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