cam a22 4 4500 528730355 CHVBK 20201210010115.0 180920s1990 xxu 00 eng 978-0-387-97167-4 (OCoLC)1057382149 (SBT)000905296 SzBzSBTc LUBUL ita ger Zeidler Eberhard Nonlinear functional analysis and its applications Eberhard Zeidler ; transl. by the author and by Leo F. Boron New York Springer 1990 1202 p. ill. Con 74 illustrazioni Bibliografia: p. 1119-1161 II/B Nonlinear monotone operators Vorlesungen über nichtlineare Funktionalanalysis 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. u 515.7 Analisi matematica. Analisi funzionale sbt TE Boron Leo F. BK020000 XK020000 XK020000 ma SzBzSBTc SBT LUBUL LUBUL 201 BUL A 515.7 ZEI NON SBT 100 1- Zeidler Eberhard SBT 700 1- Boron Leo F. SWISSBIB 107491990