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Pseudodifferential operators on periodic graphs
Pseudodifferential operators periodic graphs Functional Analysis
2011/9/21
Abstract: The main aim of the paper is Fredholm properties of a class of bounded linear operators acting on weighted Lebesgue spaces on an infinite metric graph $\Gamma$ which is periodic with respect...
$C^1$-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions
Nemytskii operators Sobolev-type spaces of periodic functions C1-smoothness Functional Analysis
2011/9/19
Abstract: We consider a class of Nemytskii superposition operators that covers the nonlinear part of traveling wave models from laser dynamics, population dynamics, and chemical kinetics. Our main res...
Periodic windows distribution resulting from homoclinic bifurcations in the two-parameter space
Homoclinic systems Periodic windows Bifurcation
2010/12/28
Periodic solution parameters, in chaotic dynamical systems, form periodic windows with characteristic distribution in two-parameter spaces. Recently, general properties of this organization have been ...
A variational approach to dislocation problems for periodic Schrödinger operators
Schr¨odinger operators eigenvalues spectral gaps
2010/12/8
As a simple model for lattice defects like grain boundaries in solid state physics we consider potentials which are obtained from a periodic potential V = V (x, y) on R2 with period lattice Z2 by sett...