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Bulletin of the American Mathematical Society

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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

References [Enhancements On Off] (What's this?)

  • 1. G.DA PRATO, P.GRISVARD: Sommes d'opérateurs linéaires et équations différentielles opérationnelles, J. Math. Pures Appl. 54 (1975), 305--387. MR 56:1129
  • 2. H.O.FATTORINI: The Cauchy Problem, Encyclopedia of Mathematics and its Applications, vol. 18, Addison-Wesley, 1983. MR 84g:34003
  • 3. A.FRIEDMAN: Partial Differential Equations, Holt, Rinehart and Winston, 1969. MR 56:3433
  • 4. S.G.KREIN: Linear Differential Equations in Banach Spaces, Translations of Mathematical Monographs, vol. 29, American Mathematical Society, 1971. MR 49:7548
  • 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 39:3159b
  • 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 82g:47032

Review Information:

Reviewer: Alberto Venni
Affiliation: Universita degli Studi di Bologna
Journal: Bull. Amer. Math. Soc. 33 (1996), 501-504
MSC (1991): Primary 34G10; Secondary 46E40, 46M35, 47D06
Review copyright: © Copyright 1996 American Mathematical Society
American Mathematical Society