Book Review
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Book Information:
Author:
Herbert Amann
Title:
Linear and quasilinear parabolic problems, Vol. I: Abstract linear theory
Additional book information:
Monographs Math., Birkhäuser, Basel,
Boston, and Berlin,
1995,
xxxv+335 pp.,
ISBN 3-7643-5114-4,
$119.00$
G. Da Prato and P. Grisvard, Sommes d’opérateurs linéaires et équations différentielles opérationnelles, J. Math. Pures Appl. (9) 54 (1975), no. 3, 305–387 (French). MR 442749
Hector O. Fattorini, The Cauchy problem, Encyclopedia of Mathematics and its Applications, vol. 18, Addison-Wesley Publishing Co., Reading, Mass., 1983. With a foreword by Felix E. Browder. MR 692768
Avner Friedman, Partial differential equations, Holt, Rinehart and Winston, Inc., New York-Montreal, Que.-London, 1969. MR 0445088
S. G. Kreĭn, Linear differential equations in Banach space, Translations of Mathematical Monographs, Vol. 29, American Mathematical Society, Providence, R.I., 1971. Translated from the Russian by J. M. Danskin. MR 0342804
O. A. Ladyženskaja, V. A. Solonnikov, and N. N. Ural′ceva, Lineĭ nye i kvazilineĭ nye uravneniya parabolicheskogo tipa, Izdat. “Nauka”, Moscow, 1967 (Russian). MR 0241821
T. Venkatarayudu, The $7$-$15$ problem, Proc. Indian Acad. Sci., Sect. A. 9 (1939), 531. MR 0000001, DOI 10.1090/gsm/058
Hiroki Tanabe, Equations of evolution, Monographs and Studies in Mathematics, vol. 6, Pitman (Advanced Publishing Program), Boston, Mass.-London, 1979. Translated from the Japanese by N. Mugibayashi and H. Haneda. MR 533824
- 1.
- G.DA PRATO, P.GRISVARD: Sommes d'opérateurs linéaires et équations différentielles opérationnelles, J. Math. Pures Appl. 54 (1975), 305--387. MR 0442749
- 2.
- H.O.FATTORINI: The Cauchy Problem, Encyclopedia of Mathematics and its Applications, vol. 18, Addison-Wesley, 1983. MR 0692768
- 3.
- A.FRIEDMAN: Partial Differential Equations, Holt, Rinehart and Winston, 1969. MR 0445088
- 4.
- S.G.KREIN: Linear Differential Equations in Banach Spaces, Translations of Mathematical Monographs, vol. 29, American Mathematical Society, 1971. MR 0342804
- 5.
- O.A.LADYZENSKAJA, V.A.SOLONNIKOV, N.N.URAL'CEVA: Linear and Quasilinear Equations of Parabolic Type, Translations of Mathematical Monographs, vol. 23, American Mathematical Society, 1968. MR 0241821
- 6.
- A.LUNARDI: Analytic Semigroups and Optimal Regularity in Parabolic Problems, Progress in Nonlinear Differential Equations and Their Applications, vol. 16, Birkhäuser, 1995. MR 1:329 547
- 7.
- H.TANABE: Equations of Evolution, Pitman, 1979. MR 0533824
Review Information:
Reviewer:
Alberto Venni
Affiliation:
Universita degli Studi di Bologna
Email:
venni@dm.unibo.it
Journal:
Bull. Amer. Math. Soc.
33 (1996), 501-504
DOI:
https://doi.org/10.1090/S0273-0979-96-00681-7
Review copyright:
© Copyright 1996
American Mathematical Society
