A unified approach to abstract linear nonautonomous parabolic equations
Rendiconti del Seminario Matematico della Università di Padova, Tome 78 (1987), pp. 47-107. 
@article{RSMUP_1987__78__47_0,
     author = {Acquistapace, Paolo and Terreni, Brunello},
     title = {A unified approach to abstract linear nonautonomous parabolic equations},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {47--107},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {78},
     year = {1987},
     mrnumber = {934508},
     zbl = {0646.34006},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_1987__78__47_0/}
}
TY  - JOUR
AU  - Acquistapace, Paolo
AU  - Terreni, Brunello
TI  - A unified approach to abstract linear nonautonomous parabolic equations
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 1987
SP  - 47
EP  - 107
VL  - 78
PB  - Seminario Matematico of the University of Padua
UR  - http://archive.numdam.org/item/RSMUP_1987__78__47_0/
LA  - en
ID  - RSMUP_1987__78__47_0
ER  - 
%0 Journal Article
%A Acquistapace, Paolo
%A Terreni, Brunello
%T A unified approach to abstract linear nonautonomous parabolic equations
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1987
%P 47-107
%V 78
%I Seminario Matematico of the University of Padua
%U http://archive.numdam.org/item/RSMUP_1987__78__47_0/
%G en
%F RSMUP_1987__78__47_0
Acquistapace, Paolo; Terreni, Brunello. A unified approach to abstract linear nonautonomous parabolic equations. Rendiconti del Seminario Matematico della Università di Padova, Tome 78 (1987), pp. 47-107. http://archive.numdam.org/item/RSMUP_1987__78__47_0/

[1] P. Acquistapace - B. TERRENI, Some existence and regularity results for abstract nonautonomous parabolic equations, J. Math. Anal. Appl., 99 (1984), pp. 9-64. | MR | Zbl

[2] P. Acquistapace - B. TERRENI, On the abstract nonautonomous parabolic Cauchy problem in the case of constant domains, Ann. Mat. Pura Appl., (4) 140 (1985), pp. 1-55. | MR | Zbl

[3] P. Acquistapace - B. TERRENI, Maximal space regularity for abstract nonautonomous parabolic equations, J. Funct. Anal., 60 (1985), pp. 168-210. | MR | Zbl

[4] P. Acquistapace - B. TERRENI, Existence and sharp regularity results for linear abstract parabolic integro-differential equations, Israel J. Math. 53 (1986), pp. 257-303. | MR | Zbl

[5] P. Acquistapace - B. TERRENI, Linear parabolic equations in Banach spaces with variable domains but constant interpolation spaces, Ann. Sc. Norm. Sup. Pisa (4) 13 (1986), pp. 75-107. | Numdam | MR | Zbl

[6] P. Acquistapace - B. TERRENI, Une méthode unifiée pour l'étude des équations linéaires non autonomes paraboliques dans les espaces de Banach, C. R. Acad. Sci. Paris, 301 (1985), pp. 107-110. | MR | Zbl

[7] P.L. Butzer - H. Berens, Semigroups of Operators and Approximation, Springer-Verlag, Berlin/Heidelberg/ New York, 1967. | MR | Zbl

[8] G. Da Prato - P. Grisvard, Sommes d'opérateurs linéaires et équations différentielles opérationnelles, J. Math. Pures Appl., 54 (1975), pp. 305-387. | MR | Zbl

[9] G. Da Prato - P. Grisvard, Équations d'evolution abstraites non linéaires de type parabolique, Ann. Mat. Pura Appl., (4) 120 (1979), pp. 329-396. | MR | Zbl

[10] T. Kato, Remarks on pseudo-resolvents and infinitesimal generators of semigroups, Proc. Japan Acad., 35 (1959), pp. 467-468. | MR | Zbl

[11] T. Kato, Abstract evolution equations of parabolic type in Banach and Hilbert spaces, Nagoya Math. J., 19 (1961), pp. 93-125. | MR | Zbl

[12] T. Kato, Semigroups and temporally inhomogeneous evolution equations, C.I.M.E., 1° ciclo, Varenna, 1963. | Zbl

[13] T. Kato - H. TANABE, On the abstract evolution equations, Osaka Math. J., 14 (1962), pp. 107-133. | MR | Zbl

[14] R. Labbas - B. Terreni, Sommes d'opérateurs de type parabolique et elliptique, C. R. Acad. Sci. Paris, 301 (1985), pp. 169-172. | MR | Zbl

[15] J.L. Lions - J. Peetre, Sur une classe d'espaces d'interpolation, Inst. Hautes Études Sci. Publ. Math., 19 (1964), pp. 5-68. | Numdam | MR | Zbl

[16] E. Sinestrari, On the abstract Cauchy problem of parabolic type in spaces of continuous functions, J. Math. Anal. Appl., 107 (1985), pp. 16-66. | MR | Zbl

[17] P.E. Sobolevskii, On equations of parabolic type in Banach space, Trudy Moscow Mat. Obsc., 10 (1961), pp. 297-350 (in Russian); English transl.: Amer. Math. Soc. Transl., 49 (1965), pp. 1-62. | MR

[18] H. Tanabe, On the equations of evolution in a Banach space, Osaka Math. J., 12 (1960), pp. 363-376. | MR | Zbl

[19] H. Tanabe, Note on singular perturbation for abstract differential equations, Osaka J. Math., 1 (1964), pp. 239-252. | MR | Zbl

[20] H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, North-Holland, Amsterdam/New York/Oxford, 1978. | MR | Zbl

[21] A. Yagi, On the abstract linear evolution equations in Banach spaces, J. Math. Soc. Japan, 28 (1976), pp. 290-303. | MR | Zbl

[22] A. Yagi, On the abstract evolution equation of parabolic type, Osaka J. Math., 14 (1977), pp. 557-568. | MR | Zbl