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Refined Asymptotic Formulas for Eigenvalues and Eigenfunctions of the Dirac System with Nondifferentiable Potential

Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics, 2012
Mariya Shaukatovna Burlutskaya, Vitalii Pavlovich Kurdyumov, Avgust Petrovich Khromov   +2 more
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Diagonalizing Bose Gases in the Gross-Pitaevskii Regime and Beyond. [PDF]

Commun Math Phys
Brooks M.
europepmc   +1 more source

Reflective prolate-spheroidal operators and the KP/KdV equations. [PDF]

Proc Natl Acad Sci U S A, 2019
Casper WR, Grünbaum FA, Yakimov M, Zurrián I.   +3 more
europepmc   +1 more source

On Aharonov-Bohm Operators with Two Colliding Poles. [PDF]

Adv Nonlinear Stud, 2017
Abatangelo L, Felli V, Léna C.
europepmc   +1 more source

Fractional Sobolev spaces on Riemannian manifolds. [PDF]

Math Ann
Caselli M, Florit-Simon E, Serra J.
europepmc   +1 more source

Fluctuating landscapes and heavy tails in animal behavior. [PDF]

PRX Life
Costa AC, Sridhar G, Wyart C, Vergassola M.   +3 more
europepmc   +1 more source

Asymptotic distribution of eigenvalues and eigenfunctions of a general class of elliptic pseudo-differential operators

Illinois Journal of Mathematics, 1971
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Asymptotic behavior of eigenfunctions and eigenvalues for ergodic and periodic systems

Asymptotic behavior of eigenfunctions and eigenvalues for ergodic and periodic systems
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Asymptotic Behavior of Stekloff Eigenvalues and Eigenfunctions

SIAM Journal on Applied Mathematics, 1971
We consider solutions $u_n (x,y)$ of Laplace’s equation which are regular in the interior of a smooth closed plane curve c, and the boundary conditions $\partial u_n /\partial v = \lambda _n gu_n $, where g is sufficiently smooth, positive, periodic and a prescribed function of arclength, and $u_n $, $\lambda _n $ are eigenfunctions and eigenvalues to ...
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Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system

Doklady Mathematics, 2012
The authors study the Dirac system \[ \begin{aligned} &y'_1 (x) - q_2 (x)y_2 (x) = \lambda y_1 (x), \\ &y'_2 (x) - q_1 (x)y_1 (x) = - \lambda y_2 (x)\end{aligned} \] with boundary conditions \[ y_1 (0) = y_2 (0),\,\,\,\,\,y_1 (1) = y_2 (1). \] Using a method based on transformation operator formulas, refined asymptotic formulas for the nonsmooth case ...
Burlutskaya, M. Sh., Kurdyumov, V. P., Khromov, A. P.   +2 more
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