Results 51 to 60 of about 16,815 (181)

The Modified Camassa–Holm Equation on the Half Line: A Riemann–Hilbert Approach

Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.
ABSTRACT We consider the initial‐boundary value (IBV) problem for the modified Camassa–Holm (mCH) equation m∼t+(u∼2−u∼x2+2u∼)m∼x=0,m∼:=u∼−u∼xx+1$\tilde{m}_t+{\left((\tilde{u}^2-\tilde{u}_x^2+2\tilde{u})\tilde{m}\right)}_x = 0, \qquad \tilde{m}:=\tilde{u}-\tilde{u}_{xx}+1$ on the half‐line x≥0$x \ge 0$.
Iryna Karpenko, Dmitry Shepelsky
wiley   +1 more source

A Riemann-Hilbert Problem for the Moisil-Teodorescu System [PDF]

, 2019
In a bounded domain with smooth boundary in \R^3 we consider the stationary Maxwell equations for a function u with values in \R^3 subject to a nonhomogeneous condition (u, v)_x = u_0 on the boundary, where v is a given vector field and u_0 a function on
Тарханов, Николай Николаевич, Полковников, Александр Николаевич   +1 more
core   +1 more source

The inverse scattering transform in the form of a Riemann-Hilbert problem for the Dullin-Gottwald-Holm equation [PDF]

Opuscula Mathematica, 2017
The Cauchy problem for the Dullin-Gottwald-Holm (DGH) equation \[u_t-\alpha^2 u_{xxt}+2\omega u_x +3uu_x+\gamma u_{xxx}=\alpha^2 (2u_x u_{xx} + uu_{xxx})\] with zero boundary conditions (as \(|x|\to\infty\)) is treated by the Riemann-Hilbert approach to
Dmitry Shepelsky, Lech Zielinski
doaj   +1 more source

On the Quot scheme QuotSl(E)$\mathrm{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We study the geometry of the Quot scheme QuotSl(E)$\operatorname{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$ of length l$l$ coherent sheaf quotients of a locally free sheaf E$\mathcal {E}$ on a smooth projective surface S$\mathrm{S}$. In particular, we investigate the nature of its singularities, its intersection theory, and the cohomology of ...
Samuel Stark
wiley   +1 more source

Null octagon from Deift-Zhou steepest descent

Nuclear Physics B, 2022
A special class of four-point correlation functions in the maximally supersymmetric Yang-Mills theory is given by the square of the Fredholm determinant of a generalized Bessel kernel. In this note, we re-express its logarithmic derivatives in terms of a
A.V. Belitsky
doaj   +1 more source

Change Point Analysis for Functional Data Using Empirical Characteristic Functionals

Journal of Time Series Analysis, Volume 47, Issue 3, Page 612-631, May 2026.
ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth, Gregory Rice, Jeremy VanderDoes   +2 more
wiley   +1 more source

Vector inequalities for powers of some operators in Hilbert spaces [PDF]

, 2008
Vector inequalities for powers of some operators in Hilbert spaces with applications for operator norm, numerical radius, commutators and self-commutators are ...
Dragomir, Sever S, S.S. Dragomir
core   +1 more source

Matrix Jacobi biorthogonal polynomials via Riemann–Hilbert problem [PDF]

, 2023
We consider matrix orthogonal polynomials related to Jacobi type matrices of weights that can be defined in terms of a given matrix Pearson equation. Stating a Riemann–Hilbert problem we can derive first and second order differential-difference relations
Mañas, Manuel, Amílcar Branquinho, Foulquié-Moreno, Ana, Assil Fradi, Manuel Mañas, Fradi, Assil, Ana Foulquié-Moreno, Branquinho, Amílcar   +7 more
core   +1 more source

Exact solutions of a local fractional nonisospectral complex mKdV equation based on Riemann–Hilbert method with time-varying spectrum

Alexandria Engineering Journal
This article combines the Riemann–Hilbert method with fractional power-law time-varying spectrum for the first time to solve a time fractional nonisospectral complex mKdV (tfniscmKdV) equation. Firstly, the tfniscmKdV equation and its associated Lax pair
Bo Xu, Sheng Zhang
doaj   +1 more source