Results 31 to 40 of about 1,067 (48)
A Spectral Gap Estimate and Applications
, 2017 We consider the Schr\"odinger operator $$-\frac{d^2}{d x^2} + V \qquad \mbox{on an interval}~~[a,b]~\mbox{with Dirichlet boundary conditions},$$ where $V$ is bounded from below and prove a lower bound on the first eigenvalue $\lambda_1$ in terms of ...
Georgiev, Bogdan +2 more
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Characters and transfer maps via categorified traces
Forum of Mathematics, SigmaWe develop a theory of generalized characters of local systems in $\infty $ -categories, which extends classical character theory for group representations and, in particular, the induced character formula.
Shachar Carmeli +3 more
doaj +1 more source
Estimates for higher Steklov eigenvalues
, 2016 In this paper, motivated by the work of Raulot and Savo, we generalize Raulot-Savo's estimate for the first Steklov eigenvalues of Euclidean domains to higher Steklov eigenvalues.Comment: 10 ...
Yang, Liangwei, Yu, Chengjie
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An estimate for the number of bound states of the Schrödinger operator in two dimensions [PDF]
, 2004 For the Schrödinger operator -Δ + V on R^2 be the number of bound states. One obtains the following estimate: N(V) ≤ 1 + ∫_(R^2)∫_(R^2)|V(x)|V(y)|C_(1)ln|x-y|+C_2|^2 dx dy where C_1 = -1/2π and C_2 = (ln2-γ)/2π (γ is the Euler constant).
Stoiciu, Mihai
core
A lower bound for the nodal sets of Steklov eigenfunctions
, 2015 We consider the lower bound of nodal sets of Steklov eigenfunctions on smooth Riemannian manifolds with boundary--the eigenfunctions of the Dirichlet-to-Neumann map. Let $N_\lambda$ be its nodal set.
Wang, Xing, Zhu, Jiuyi
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Advances in Nonlinear AnalysisWe provide bounds for the sequence of eigenvalues {λi(Ω)}i{\left\{{\lambda }_{i}\left(\Omega )\right\}}_{i} of the Dirichlet problem (I−Δ)lnu=λuinΩ,u=0inRN\Ω,{\left(I-\Delta )}^{\mathrm{ln}}u=\lambda u\hspace{1em}{\rm{in}}\hspace{0.33em}\Omega ,\hspace{1.
Chen Huyuan, Cheng Li
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Eigenvalue estimates for the higher order buckling problem [PDF]
, 2016 In this paper, we consider lower order eigenvalues of Laplacian operator with any order in Euclidean domains. By choosing special rectangular coordinates, we obtain two estimates for lower order eigenvalues.Comment: This article has an ...
Huang, Guangyue, Li, Xingxiao
core
Eigenvalues estimate for the Neumann problem on bounded domains [PDF]
, 2008 In this note, we investigate upper bounds of the Neumann eigenvalue problem for the Laplacian of a bounded domain (with smooth boundary) in a given complete (not compact a priori) Riemannian manifold with Ricci bounded below .
Colbois, Bruno, Maerten, Daniel
core +2 more sources
A technique for non-intrusive greedy piecewise-rational model reduction of frequency response problems over wide frequency bands. [PDF]
J Math Ind, 2022 Pradovera D, Nobile F.
europepmc +1 more source
Simultaneous Cervical and Lumbar Spinal Cord Stimulation Induces Facilitation of Both Spinal and Corticospinal Circuitry in Humans. [PDF]
Front Neurosci, 2021 Parhizi B, Barss TS, Mushahwar VK.
europepmc +1 more source