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pro vyhledávání: '"Ingimarson, Benjamin"'
Autor:
Ingimarson, Benjamin, Pego, Robert L.
We prove the existence of small solitary waves for one-dimensional lattices of particles that each repel every other particle with a force that decays as a power of distance. For force exponents $\alpha+1$ with $\frac43<\alpha<3$, we employ fixed-poi
Externí odkaz:
http://arxiv.org/abs/2406.09184
Autor:
Ingimarson, Benjamin, Pego, Robert L.
We study waves on infinite one-dimensional lattices of particles that each interact with all others through power-law forces $F \sim r^{-\beta}$. The inverse-cube case corresponds to Calogero-Moser systems, which are well known to be completely integ
Externí odkaz:
http://arxiv.org/abs/2310.02271
We study convergence of the spectral shift function for the finite interval restrictions of a pair of full-line Schr\"odinger operators to an interval of the form $(-\ell,\ell)$ with coupled boundary conditions at the endpoints as $\ell\to \infty$ in
Externí odkaz:
http://arxiv.org/abs/2211.14970
Autor:
INGIMARSON, BENJAMIN, PEGO, ROBERT L.
Publikováno v:
SIAM Journal on Applied Mathematics; 2024, Vol. 84 Issue 3, p808-830, 23p