Keyword

essential spectrum

Description: The portion of an operator’s spectrum that excludes isolated eigenvalues of finite multiplicity, studied in functional analysis and operator theory.

Primary topic: Spectral Theory in Mathematical Physics (57%)

Wikidata ID: wiki/Q917390

OpenAlex ID: keywords/essential-spectrum

Spectral Theory of Ordinary Differential Operators

1987 · Joachim Weidmann · Lecture notes in mathematics · 735

Eigenvalues, and instabilities of solitary waves

1992 · Robert L. Pego, Michael I. Weinstein · Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences · 437

Curvature-induced Bound States in Quantum Waveguides in Two and Three Dimensions

1995 · P. DUCLOS, P. EXNER · Reviews in Mathematical Physics · 421

Stability of Travelling Waves

2002 · Björn Sandstede · Handbook of dynamical systems · 409

Decay Rates for Inverses of Band Matrices

1984 · Stephen Demko, William F. Moss, et al. · Mathematics of Computation · 384

PDF

Weyl's theorem for nonnormal operators.

1966 · L. A. Coburn · The Michigan Mathematical Journal · 359

PDF

Nonlinear Schrödinger Equations With Steep Potential Well

2001 · THOMAS BARTSCH, ALEXANDER PANKOV, et al. · Communications in Contemporary Mathematics · 353

The Asymptotic Behaviour of Semigroups of Linear Operators

1996 · Jan van Neerven · Birkhäuser Basel eBooks · 316

The gap lemma and geometric criteria for instability of viscous shock profiles

1998 · Robert A. Gardner, Kevin Zumbrun · Communications on Pure and Applied Mathematics · 309

On the stabilizability problem in Banach space

1975 · Roberto Triggiani · Journal of Mathematical Analysis and Applications · 306

Pointwise semigroup methods and stability of viscous shock waves

1998 · Kevin Zumbrun, Peter Howard · Indiana University Mathematics Journal · 301

PDF

Multivalued Linear Operators

1998 · R. W. Cross · 286

Banach spaces adapted to Anosov systems

2005 · SÉBASTIEN GOUËZEL, CARLANGELO LIVERANI · Ergodic Theory and Dynamical Systems · 269

PDF

The radius of the essential spectrum

1970 · Roger D. Nussbaum · Duke Mathematical Journal · 257

Absolute and convective instabilities of waves on unbounded and large bounded domains

2000 · Björn Sandstede, Arnd Scheel · Physica D Nonlinear Phenomena · 229

Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations

1998 · Todd Kapitula, Björn Sandstede · Physica D Nonlinear Phenomena · 220

The Hodge cohomology of a conformally compact metric

1988 · Rafe Mazzeo · Journal of Differential Geometry · 215

PDF

The Essential Spectrum of Some Matrix Operators

1994 · F. V. Atkinson, H. Langer, et al. · Mathematische Nachrichten · 201

Weakly coupled bound states in quantum waveguides

1997 · W. Bulla, F. Gesztesy, et al. · Proceedings of the American Mathematical Society · 195

PDF

The basic propositions on defect numbers, root numbers and indices of linear operators

1960 · I. C. and Kreĭn Gohberg · Translations - American Mathematical Society/Translations · 192

Semigroups of operators and measures of noncompactness

1971 · Arnold Lebow, Martin Schechter · Journal of Functional Analysis · 190

An eigenvalue based approach for the stabilization of linear time-delay systems of neutral type

2005 · Wim Michiels, Tomáš Vyhlídal · Automatica · 163

Kotani theory for one dimensional stochastic Jacobi matrices

1983 · Barry Simon · Communications in Mathematical Physics · 163

Marangoni instability of a thin liquid film heated from below by a local heat source

2003 · SERAFIM KALLIADASIS, ALLA KIYASHKO, et al. · Journal of Fluid Mechanics · 162

On the essential spectrum of an arbitrary operator. I

1966 · Martin Schechter · Journal of Mathematical Analysis and Applications · 162

PDF

Works count: 3,730

Citation count: 35,710