Results 41 to 50 of about 1,726 (89)
, 2009 Let L=-\Delta+V be a Schr\"odinger operator on R^d, d\geq 3. We assume that V is a nonnegative, compactly supported potential that belongs to L^p(R^d), for some p>d/2. Let K_t be the semigroup generated by -L.
A. Sikora +10 more
core +1 more source
New bounds on the Lieb-Thirring constants [PDF]
, 1999 Improved estimates on the constants $L_{\gamma,d}$, for $1/2<\gamma<3/2$, $d\in N$ in the inequalities for the eigenvalue moments of Schr\"{o}dinger operators are established.
arxiv +1 more source
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.The Fractional Power Series Method (FPSM) is an effective and efficient method that offers an analytic method to find exact solution for Fractional Partial Differential Equations (FPDEs) in a functional space. In recent time, the FPSM has been applied in various science and engineering fields to solve physical problems in areas such as fluid dynamics ...
Isaac Addai +4 more
wiley +1 more source
Area Integral Characterization of Hardy space H1L related to Degenerate Schrödinger Operators
Advances in Nonlinear Analysis, 2019 Let
Huang Jizheng, Li Pengtao, Liu Yu
doaj +1 more source
Quasi-Periodic Solutions in a Nonlinear Schrödinger Equation [PDF]
, 2005 1991 Mathematics Subject Classification. Primary 37K55, 35B10, 35J10, 35Q40, 35Q55.In this paper, one-dimensional (1D) nonlinear Schrödinger equation [equation omitted] with the periodic boundary condition is considered.
Geng, Jiansheng, Yi, Yingfei
core
The Fate of the Landau Levels under Perturbations of Constant Sign
, 2009 We show that the Landau levels cease to be eigenvalues if we perturb the 2D Schr\"odinger operator with constant magnetic field, by bounded electric potentials of fixed sign.
Klopp, Frédéric, Raikov, Georgi
core +3 more sources
Limit profiles and uniqueness of ground states to the nonlinear Choquard equations
Advances in Nonlinear Analysis, 2018 Consider nonlinear Choquard ...
Seok Jinmyoung
doaj +1 more source
Completeness of the set of scattering amplitudes
, 2006 Let $f\in L^2(S^2)$ be an arbitrary fixed function with small norm on the unit sphere $S^2$, and $D\subset \R^3$ be an arbitrary fixed bounded domain. Let $k>0$ and $\alpha\in S^2$ be fixed. It is proved that there exists a potential $q\in L^2(D)$ such
A.G. Ramm +14 more
core +4 more sources
, 2017 This paper provides sufficient conditions for the boundedness of Weyl operators on modulation spaces. The Weyl symbols belong to Wiener amalgam spaces, or generalized modulation spaces, as recently renamed by their inventor Hans Feichtinger.
D'Elia, Lorenza +1 more
core +1 more source
An Abstract Linking Theorem Applied to Indefinite Problems Via Spectral Properties
Advanced Nonlinear Studies, 2019 An abstract linking result for Cerami sequences is proved without the Cerami condition. It is applied directly in order to prove the existence of critical points for a class of indefinite problems in infinite-dimensional Hilbert Spaces.
Maia Liliane A., Soares Mayra
doaj +1 more source