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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Authors: M.B. Oberguggenberger and E.E. Rosinger
Title: Solution of continuous nonlinear PDEs through order completion
Additional book information: North-Holland Math. Stud., vol. 181, North- Holland, Amsterdam, London, and New York, 1994, xvi + 432 pp., ISBN 0-444-82035-3, $143.00

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

  • 1. Jean-François Colombeau, New generalized functions and multiplication of distributions, North-Holland Mathematics Studies, vol. 84, North-Holland Publishing Co., Amsterdam, 1984. Notas de Matemática [Mathematical Notes], 90. MR 738781
  • 2. Jean-François Colombeau, Multiplication of distributions, Lecture Notes in Mathematics, vol. 1532, Springer-Verlag, Berlin, 1992. A tool in mathematics, numerical engineering and theoretical physics. MR 1222643
  • 3. Yu. V. Egorov, On the theory of generalized functions, Uspekhi Mat. Nauk 45 (1990), no. 5(275), 3–40, 222 (Russian); English transl., Russian Math. Surveys 45 (1990), no. 5, 1–49. MR 1084986, https://doi.org/10.1070/RM1990v045n05ABEH002683
  • 4. H.M. MacNeille, Partially ordered sets, Trans. Amer. Math. Soc. 42 (1937), 416-460.
  • 5. Elemer E. Rosinger, Nonlinear partial differential equations, North-Holland Mathematics Studies, vol. 44, North-Holland Publishing Co., Amsterdam-New York, 1980. Sequential and weak solutions; Notas de Matemática [Mathematical Notes], 73. MR 590891
  • 6. L. Schwartz, Sur l'impossibilité de la multiplication des distributions, C.R. Acad. Sci. Paris 239 (1954), 847-848. MR 16:265

Review Information:

Reviewer: Yuri V. Egorov
Affiliation: Université Paul Sabatier (Toulouse-III)
Email: egorov@mip.ups-tlse.fr
Journal: Bull. Amer. Math. Soc. 33 (1996), 219-221
DOI: https://doi.org/10.1090/S0273-0979-96-00620-9
Review copyright: © Copyright 1996 American Mathematical Society