Results 51 to 60 of about 51,027 (249)

Levinson's Theorem for Non-local Interactions in Two Dimensions

, 1998
In the light of the Sturm-Liouville theorem, the Levinson theorem for the Schr\"{o}dinger equation with both local and non-local cylindrically symmetric potentials is studied. It is proved that the two-dimensional Levinson theorem holds for the case with
Chadan Kh, Dong Shi-Hai, Dong Shi-Hai, Englefield M J, Jauch J M, Kermode M W, Levinson N, Ma Z Q, Martin A, Martin P A, Newton R G, Newton R G, Newton R G, Newton R G, Newton R G, Ni G J, Okai S, Saito S, Saito S, Shi-Hai Dong, Tamagaki R, Xi-Wen Hou, Yang C N, Zhong-Qi Ma   +23 more
core   +1 more source

Three-circle theorems and Liouville-type theorems

Science China Mathematics
14 ...
Jian, Run-Qiang, Zhang, Zhuhong
openaire   +3 more sources

Uncovering the Generation Mechanism of Low‐Frequency Chorus Waves (<0.1 fce_eq ${\boldsymbol{f}}_{\mathbf{c}\mathbf{e}\mathbf{\_}\mathbf{e}\mathbf{q}}$) During Active Geomagnetic Environments

Geophysical Research Letters, Volume 53, Issue 3, 16 February 2026.
Abstract Low‐frequency chorus waves (below 0.1 fce_eq ${f}_{\text{ce}\_\text{eq}}$, where fce_eq ${f}_{\text{ce}\_\text{eq}}$ is equatorial electron gyrofrequency) can induce the depletion of relativistic electrons in Earth's radiation belts by effective pitch angle scattering, demonstrating distinct effects on radiation belt dynamics compared to ...
Xuan Zhou, Xinliang Gao, Dedong Wang, Jiuqi Ma, Quanming Lu   +4 more
wiley   +1 more source

The Existence and Uniqueness of Solutions for a Class of Nonlinear Fractional Differential Equations with Infinite Delay

Abstract and Applied Analysis, 2013
We prove the existence and uniqueness of solutions for two classes of infinite delay nonlinear fractional order differential equations involving Riemann-Liouville fractional derivatives.
Azizollah Babakhani, Dumitru Baleanu, Ravi P. Agarwal   +2 more
doaj   +1 more source

Dimer models and conformal structures

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source

Koenigs Theorem and Superintegrable Liouville Metrics

Symmetry, Integrability and Geometry: Methods and Applications, 2023
In a first part, we give a new proof of Koenigs theorem and, in a second part, we determine the local form of all the superintegrable Riemannian Liouville metrics as well as their global geometries.
openaire   +2 more sources

Spectral Parameter Power Series Representation for Regular Solutions of the Radial Dirac System

Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 2098-2113, February 2026.
ABSTRACT A spectral parameter power series (SPPS) representation for the regular solution of the radial Dirac system with complex coefficients is obtained, as well as a SPPS representation for the (entire) characteristic function of the corresponding spectral problem on a finite interval. Based on the SPPS representation, a numerical method for solving
Emmanuel Roque, Sergii M. Torba
wiley   +1 more source

Gradient estimates for semilinear elliptic systems and other related results [PDF]

, 2014
A periodic connection is constructed for a double well potential defined in the plane. This solution violates Modica's estimate as well as the corresponding Liouville Theorem for general phase transition potentials.
Smyrnelis, Panayotis
core  

Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane, Ahmad Z. Fino, Berikbol T. Torebek, Zineb Sabbagh   +3 more
wiley   +1 more source

Generalized Hyers–Ulam Stability of Laplace Equation With Neumann Boundary Condition in the Upper Half‐Space

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 521-530, 30 January 2026.
ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang, Hoewoon B. Kim, Dojin Kim   +2 more
wiley   +1 more source