Zeidler, Eberhard Nonlinear functional analysis and its applications. II/A: Linear monotone operators. Transl. from the German by the author and by Leo F. Boron. (English) Zbl 0684.47028 New York etc.: Springer-Verlag. xviii, 467 p. DM 244.00 (1990). This first subvolume A is reviewed together with the second one B below. Cited in 12 ReviewsCited in 554 Documents MSC: 47Hxx Nonlinear operators and their properties 47-02 Research exposition (monographs, survey articles) pertaining to operator theory 65J10 Numerical solutions to equations with linear operators 47D03 Groups and semigroups of linear operators 47A50 Equations and inequalities involving linear operators, with vector unknowns 47B25 Linear symmetric and selfadjoint operators (unbounded) 47A53 (Semi-) Fredholm operators; index theories Keywords:monotone operator; Hilbert space methods in PDE theory; Hilbert orthogonality; Ritz method; quadratic variational problems; Friedrichs extension for unbounded linear operators; eigenvalue problems; semigroup approach of evolution problems; mild solutions; completion; smoothing principles; stability; consistency; convergence in difference methods; approximation solvability of linear operator equations; convergence of the Galerkin method; elliptic, parabolic and hyperbolic problems; functional and interpolation inequalities; regularity of generalized solutions; strongly positive bilinear forms; existence of eigenvalues; Fredholm alternative; boundary value problems for elliptic equations; Dirichlet principle; energy Citations:Zbl 0684.47029; Zbl 0426.47032; Zbl 0481.47041; Zbl 0583.47050; Zbl 0583.47051; Zbl 0648.47036 × Cite Format Result Cite Review PDF