Bulletin of the American Mathematical Society

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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, $143.00$

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

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, DOI 10.1007/BFb0088952

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, DOI 10.1070/RM1990v045n05ABEH002683

4.

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

Elemer E. Rosinger, Nonlinear partial differential equations, Notas de Matemática [Mathematical Notes], vol. 73, North-Holland Publishing Co., Amsterdam-New York, 1980. Sequential and weak solutions. MR 590891

Tadasi Nakayama, On Frobeniusean algebras. I, Ann. of Math. (2) 40 (1939), 611–633. MR 16, DOI 10.2307/1968946

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 0738781

2.

------, Multiplication of Distributions, Springer Lecture Notes in Mathematics, vol. 1532, Springer-Verlag, Heidelberg, 1992. MR 1222643

3.

Yu.V. Egorov, On the theory of generalized functions, Russ. Math. Surveys 45 (1990), 3-40. MR 1084986

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 0590891

6.

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