Nonlinear Functional Analysis And Its Applications

By B. Eggers. 2016

1,439 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/080504b11f157fd4134107eff06e4c4c2b3a9260

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In Control and Systems Engineering

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In Numerical Analysis

Citations in the corpus

Instability, index theorem, and exponential trichotomy for Linear Hamiltonian PDEs (2017, positive): “According to the Tychonoff fixed point theorem (sometimes referred as the Schauder-Tychonoff fixed point theorem, see [76]), T has a fixed point S ∈ B1(XL−, XL+).”
Partial differential hemivariational inequalities (2018, background): “5, we conclude that the composition F( ⋅ , x) = f( ⋅ , x, U( ⋅ , x)) is measurable for every x ∈ E (see [33]).”
On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent (2017, background): “Thus, in light of Minty-Browder theorem (see [23]), L1 is a surjection.”
A topological approach to nonlocal elliptic partial differential equations on an annulus (2020, background): “One may refer to either the monograph by Guo and Lakshmikantham [28] or the monograph by Zeidler [58] for additional details – see also Infante and Pietramala [35, Lem.”
On the existence of stationary solutions for higher-order p-Kirchhoff problems (2014, neutral): “9 of [31], being [W 0 (Ω)] d reflexive.”
Coercive space-time finite element methods for initial boundary value problems (2020, methodology): “While for the analysis of parabolic and hyperbolic partial differential equations a variety of approaches such as Fourier methods, semigroups, or Galerkin methods are available (see, for example, [22, 27, 28, 32, 44, 46]), standard approaches for the numerical solution are based on semi-discretisati”
Numerical Methods for Elliptic and Parabolic Partial Differential Equations (2003, neutral): “[39] E.”
Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source (2014, neutral): “23 of [30], u is L(2)-continuous on [T∗, T∗ + T ].”
Equivalence of well-posedness between systems of hemivariational inequalities and inclusion problems (2016, background): “In this section, we recall some important notions and useful results on nonlinear analysis, optimization theory and nonsmooth analysis, which can be found in [1, 4, 10, 16, 26].”
A Stochastic forward-backward splitting method for solving monotone inclusions in Hilbert spaces (2014, background): “The problem is to solve the following variational inequality [33, 54, 5] find w ∈ H such that (∀w ∈ H) 〈w − w | Bw〉+G(w) ≤ G(w), (5.”