Results 11 to 20 of about 36,531 (212)
Degenerate Elliptic Eigenvalue Problems with Indefinite Weights [PDF]
The purpose of this paper is to provide a careful and accessible exposition of the Kreĭn and Rutman Theory of degenerate elliptic eigenvalue problems with indefinite weights that model population dynamics in environments with spatial heterogeneity.
Kazuaki Taira
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On Indefinite Sums Weighted by Periodic Sequences [PDF]
For any integer $q\geq 2$ we provide a formula to express indefinite sums of a sequence $(f(n))_{n\geq 0}$ weighted by $q$-periodic sequences in terms of indefinite sums of sequences $(f(qn+p))_{n\geq 0}$, where $p\in\{0,\ldots,q-1\}$. When explicit expressions for the latter sums are available, this formula immediately provides explicit expressions ...
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Sleep spindle detection based on non-experts: A validation study. [PDF]
Accurate and efficient detection of sleep spindles is a methodological challenge. The present study describes a method of using non-experts for manual detection of sleep spindles.
Rui Zhao +6 more
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Cohomology and Decomposition of Tensor Product Representations of SL(2,R) [PDF]
We analyze the decomposition of tensor products between infinite dimensional (unitary) and finite-dimensional (non-unitary) representations of SL(2,R). Using classical results on indefinite inner product spaces, we derive explicit decomposition formulae,
André van Tonder +26 more
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On the Fučík spectrum with indefinite weights
19 pages, to appear in Diff.
Gossez, Jean-Pierre, Alif, Mohssine
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Various Half-Eigenvalues of Scalar p-Laplacian with Indefinite Integrable Weights
Consider the half-eigenvalue problem (ϕp(x′))′+λa(t)ϕp(x+)−λb(t)ϕp(x−)=0 a.e.
Wei Li, Ping Yan
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The similarity problem for indefinite Sturm-Liouville operators and the HELP inequality [PDF]
We study two problems. The first one is the similarity problem for the indefinite Sturm-Liouville operator \[ A=-(\sgn\, x)\frac{d}{wdx}\frac{d}{rdx} \] acting in $L^2_{w}(-b,b)$. It is assumed that $w,r\in L^1_{\loc}(-b,b)$ are even and positive a.e. on
Abasheeva +66 more
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Realizations of Causal Manifolds by Quantum Fields [PDF]
Quantum mechanical operators and quantum fields are interpreted as realizations of timespace manifolds. Such causal manifolds are parametrized by the classes of the positive unitary operations in all complex operations, i.e.
C. Becchi +27 more
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Multiplicity results for asymmetric boundary value problems with indefinite weights
We prove existence and multiplicity of solutions, with prescribed nodal properties, to a boundary value problem of the form u″+f(t,u)=0, u(0)=u(T)=0.
Francesca Dalbono
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Inhomogeneous Neumann problem with critical Sobolev exponent
We investigate the solvability of the inhomogeneous Neumann problem involving the critical Sobolev exponent. In particular, we discuss the impact of the shape of the graph of the coefficient of the critical exponent on the existence of a solution.
Chabrowski Jan
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