Nonlinear functional analysis and its applications

Verfasser / Beitragende:
Eberhard Zeidler ; transl. by the author and by Leo F. Boron
Ort, Verlag, Jahr:
New York : Springer, 1990
Beschreibung:
1202 p. : ill.
Format:
Buch
ID: 528730355
LEADER cam a22 4 4500
001 528730355
003 CHVBK
005 20201210010115.0
008 180920s1990 xxu 00 eng
020 |a 978-0-387-97167-4 
035 |a (OCoLC)1057382149 
035 |a (SBT)000905296 
040 |a SzBzSBTc LUBUL 
041 1 |a ita  |h ger 
100 1 |a Zeidler  |D Eberhard 
245 1 0 |a Nonlinear functional analysis and its applications  |c Eberhard Zeidler ; transl. by the author and by Leo F. Boron 
260 |a New York  |b Springer  |c 1990 
300 |a 1202 p.  |b ill. 
500 |a Con 74 illustrazioni 
504 |a Bibliografia: p. 1119-1161 
505 0 0 |g II/B  |t Nonlinear monotone operators 
509 0 |a Vorlesungen über nichtlineare Funktionalanalysis 
520 |a This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential equations of elliptic, parabolic and hyperbolic type. This book also represents an introduction to numerical functional analysis with applications to the Ritz method along with the method of finite elements, the Galerkin methods, and the difference method. Many exercises complement the text. The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century. 
691 7 |B u  |u 515.7  |a Analisi matematica. Analisi funzionale  |2 sbt TE 
700 1 |a Boron  |D Leo F. 
898 |a BK020000  |b XK020000  |c XK020000 
912 7 |a ma  |2 SzBzSBTc 
949 |B SBT  |F LUBUL  |b LUBUL  |c 201  |j BUL A 515.7 ZEI NON 
950 |B SBT  |P 100  |E 1-  |a Zeidler  |D Eberhard 
950 |B SBT  |P 700  |E 1-  |a Boron  |D Leo F. 
986 |a SWISSBIB  |b 107491990