Todd Kapitula
Mathematical Physics · 2004–2014
A researcher in the Science corpus: 5 papers; trusts 3 researchers and is trusted by 13 researchers here, as inferred from the citation graph.
Subfields
- Mathematical Physics — 6 citations into it; #2,051 of 8,562 by trust here, #3,482 by citations
Whom Todd Kapitula trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
Who trusts Todd Kapitula overall
- Zhiwu Lin
- Dmitry E. Pelinovsky
- C. Zeng
- Marina Chugunova
- Mariana Haˇraˇguş
- Scipio Cuccagna
- Bernard Deconinck
- Jared C. Bronski
- Dimitri J. Frantzeskakis
- Panayotis G. Kevrekidis
Papers from Todd Kapitula's perspective
Ordered by how strongly the researchers Todd Kapitula trusts endorse each paper. Same corpus, a different order for every researcher.
- Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems
- Spectra of positive and negative energies in the linearized NLS problem
- Introduction to the Spectral Theory of Polynomial Operator Pencils
- Spectral and Dynamical Stability of Nonlinear Waves
- Stability of cnoidal waves (Advances in Differential Equations)
- Methods of Modern Mathematical Physics. I: Functional Analysis
- Asymptotic stability of solitary waves for nonlinear Schrödinger equations
- Stabilization of solutions to nonlinear Schrödinger equations
- Long-Time Asymptotics for Solutions of the NLS Equation with a Delta Potential and Even Initial Data
- Topics in Nonlinear Functional Analysis
Their papers
- A Hamiltonian–Krein (Instability) Index Theory for Solitary Waves to KdV‐Like Eigenvalue Problems (2014) — 48 citations
- Spectral and Dynamical Stability of Nonlinear Waves (2013) — 442 citations
- An Instability Index Theory for Quadratic Pencils and Applications (2012) — 47 citations
- On the spectra of periodic waves for infinite-dimensional Hamiltonian systems (2008) — 147 citations
- Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems (2004) — 201 citations