Search Results - Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs

A Degree Associated to Linear Eigenvalue Problems in Hilbert Spaces and Applications to Nonlinear Spectral Theory by Benevieri, Pierluigi, Calamai, Alessandro, Furi, Massimo, Pera, Maria Patrizia

“… Thanks to this extension, we solve a conjecture regarding global continuation in nonlinear spectral theory that we have formulated in a recent article. Our result (the ex conjecture…”
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Renormalized Oscillation Theory for Symplectic Eigenvalue Problems with Nonlinear Dependence on the Spectral Parameter by Elyseeva, Julia

“…In this paper we establish new renormalized oscillation theorems for discrete symplectic eigenvalue problems with Dirichlet boundary conditions…”
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The Brouwer degree associated to classical eigenvalue problems and applications to nonlinear spectral theory by Benevieri, Pierluigi, Calamai, Alessandro, Furi, Massimo, Pera, Maria Patrizia

“… differentiable real manifolds, we were able to solve, at least in the finite dimensional context, a conjecture regarding global continuation in nonlinear spectral theory that we formulated in some recent papers…”
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A degree associated to linear eigenvalue problems in Hilbert spaces and applications to nonlinear spectral theory by Benevieri, Pierluigi, Calamai, Alessandro, Furi, Massimo, Pera, Maria Patrizia

“… Thanks to this extension, we solve a conjecture regarding global continuation in nonlinear spectral theory that we have formulated in a recent article. Our result (the ex conjecture…”
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Renormalized oscillation theory for symplectic eigenvalue problems with nonlinear dependence on the spectral parameter by Elyseeva, Julia

“…In this paper, we establish new renormalized oscillation theorems for discrete symplectic eigenvalue problems with Dirichlet boundary conditions…”
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Instability, index theorem, and exponential trichotomy for Linear Hamiltonian PDEs by Lin, Zhiwu, Zeng, Chongchun

“…Consider a general linear Hamiltonian system…”
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Legendre-Fourier spectral approximation and error analysis for nonlinear eigenvalue problems in complex domains by Zheng, Jihui, An, Jing

“…In this paper, we develop and analyze an efficient Legendre-Fourier spectral approximation for solving nonlinear eigenvalue problems in complex domains…”
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Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics by Roach, G. F, Stratis, Ioannis G, Yannacopoulos, Athanassios N

“… But a body of rigorous mathematical theory has also gradually developed, and this is the first book to present that theory…”
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Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation by Lizarraga, Ian, Marangell, Robert

“… Our approach is to show that for sufficiently small ε > 0 , the ‘full’ eigenvalue problem of the regularized system is controlled…”
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Nonlinear elliptic partial differential equations : Workshop in celebration of Jean-Pierre Gossez's 65th birthday, September 2-4, 2009, Université libre de Bruxelles, Belgium by Workshop in Nonlinear Elliptic Partial Differential Equations, Bonheure, Denis, Cuesta, Mabel, Dozo, Enrique J. Lami, Takáč, Peter, Van Schaftingen, Jean, Willem, Michel, Gossez, J. P.

“… The workshop reflected Gossez's contributions in nonlinear elliptic PDEs…”
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Nonlinear wave equations : analytic and computational techniques : AMS Special Session Nonlinear Waves and Integrable Systems : April 13-14, 2013, University of Colorado, Boulder, Co by Curtis, Christopher W., Dzhamay, Anton, Hereman, Willy A., Prinari, B., AMS Special Session on Nonlinear Waves and Integrable Systems

“… The articles in this volume present a diverse cross section of topics from this field including work on the Inverse Scattering Transform, scattering theory, inverse problems, numerical methods…”
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Asymptotic expansion for nonlinear eigenvalue problems by Aboud, Fatima, Robert, Didier

“…In this paper we consider generalized eigenvalue problems for a family of operators with a quadratic dependence on a complex parameter. Our model is L ( λ ) = − △ + ( P ( x ) − λ ) 2 in L 2 ( R d…”
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Nonlinear Spectral Decompositions by Gradient Flows of One-Homogeneous Functionals by Bungert, Leon, Burger, Martin, Chambolle, Antonin, Novaga, Matteo

“…This paper establishes a theory of nonlinear spectral decompositions by considering the eigenvalue problem related to an absolutely one-homogeneous functional in an infinite-dimensional Hilbert space…”
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Spectral Theory for Linear Operators of Mixed Type and Applications to Nonlinear Dirichlet Problems by Lupo, Daniela, Monticelli, Dario D., Payne, Kevin R.

“…, we exploit the recent weak well-posedness result of [ 8 ] and minimax methods to establish a complete spectral theory in the context of weighted Lebesgue and Sobolev spaces…”
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A Spectral Approach for Sifting Process in Empirical Mode Decomposition by Niang, Oumar, Deléchelle, Éric, Lemoine, Jacques

“… The major problem with EMD is the lack of theoretical Framework which leads to difficulties for the characterization and evaluation this approach…”
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Gradient Flows and Nonlinear Power Methods for the Computation of Nonlinear Eigenfunctions by Bungert, Leon, Burger, Martin

“…This chapter describes how gradient flows and nonlinear power methods in Banach spaces can be used to solve nonlinear eigenvector-dependent eigenvalue problems, and how convergence of (discretized…”
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Nonlinear stability of shock-fronted travelling waves in reaction-nonlinear diffusion equations by Lizarraga, Ian, Marangell, Robert

“…Reaction-nonlinear diffusion PDEs can be derived as continuum limits of stochastic models for biological and ecological invasion…”
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A Dirichlet-to-Neumann Approach for The Exact Computation of Guided Modes in Photonic Crystal Waveguides by Fliss, Sonia

“… The existence and computation of the eigenmodes is a crucial issue. This is related to a self-adjoint eigenvalue problem associated to a PDE in an unbounded domain…”
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Bifurcation for a Class of Indefinite Elliptic Systems by Comparison Theory for the Spectral Flow via an Index Theorem by Janczewska, Joanna, Möckel, Melanie, Waterstraat, Nils

“…We consider families of strongly indefinite systems of elliptic PDE and investigate bifurcation from a trivial branch of solutions by using the spectral flow…”
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Diffusion Forecasting Model with Basis Functions from QR-Decomposition by Harlim, John, Yang, Haizhao

“…–Planck PDE corresponding to Itô diffusion without knowing the underlying equation. The key idea of this method is to approximate the solution of the Fokker…”
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