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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Book Review

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Book Information

Author(s): 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, $143.00, 0-444-82035-3


References:

1.
J.-F. Colombeau, New Generalized Functions and Multiplication of Distributions, North-Holland Math. Stud., vol. 84, North-Holland, Amsterdam, London, and New York, 1984.MR 86c:46042

2.
------, Multiplication of Distributions, Springer Lecture Notes in Mathematics, vol. 1532, Springer-Verlag, Heidelberg, 1992. MR 94h:46066

3.
Yu.V. Egorov, On the theory of generalized functions, Russ. Math. Surveys 45 (1990), 3-40. MR 92d:46097

4.
H.M. MacNeille, Partially ordered sets, Trans. Amer. Math. Soc. 42 (1937), 416-460.

5.
E.E. Rosinger, Nonlinear partial differential equations, sequential and weak solutions, North-Holland Math. Stud., vol. 44, North-Holland, Amsterdam, London, and New York, 1980. MR 83i:35002

6.
L. Schwartz, Sur l'impossibilité de la multiplication des distributions, C.R. Acad. Sci. Paris 239 (1954), 847-848. MR 16:265


Additional Information:

Reviewer(s):
Yuri V. Egorov
Affiliation: Université Paul Sabatier (Toulouse-III)
Email: egorov@mip.ups-tlse.fr

Review Information:
Journal: Bull. Amer. Math. Soc. 33 (1996), 219-221.
DOI: 10.1090/S0273-0979-96-00620-9
PII: S 0273-0979(96)00620-9
Copyright of article: Copyright 1996, American Mathematical Society


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