Results 91 to 100 of about 6,739 (179)
An eigenvalue problem for the infinity-Laplacian
Electronic Journal of Differential Equations, 2013 In this work, we study an eigenvalue problem for the infinity-Laplacian on bounded domains. We prove the existence of the principal eigenvalue and a corresponding positive eigenfunction.
Tilak Bhattacharya, Leonardo Marazzi
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A counter-example to log-concavity of the first Robin eigenfunction
, 2017 The first Neumann eigenfunction is a constant, while the first Dirichlet eigenfunction is known to be log-concave, by a result of Brascamp and Lieb.
Clutterbuck, Julie
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Improvement of Pointwise Bounds for Eigenfunctions in the Quantum Completely Integrable System
MathematicsOn a compact n-dimensional Riemannian manifold without boundary (M,g), it is well-known that the L2-normalized Laplace eigenfunctions with semiclassical parameter h satisfy the universal L∞ growth bound of O(h1−n2)ash→0+.
Xianchao Wu
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Some observations on the spatial and eigenfunction representations of dyadic Green's functions
, 1989 The principal-volume method of expressing the spatial representation of the dyadic Green's function in free space is reviewed, followed by the eigenfunction expansion method of deriving the dyadic Green's function in free space and an arbitrarily shaped ...
Chew, Weng Cho
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Generalized eigenfunction expansions and spectral decompositions [PDF]
, 1997 The paper relates several generalized eigenfunction expansions to classical spectral decomposition properties. From this perspective one explains some recent results concerning the classes of decomposable and generalized scalar operators. In particular a
Putinar, Mihai
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MODEL REDUCTION METHODS IN OPTION PRICING [PDF]
In this work we introduce the Proper Orthogonal Decomposition (POD)approach to the valuation of contingent claims for one–dimensional price models.First, we present the POD in the context of an abstract Hilbert space and we givean application for the ...
Antonio Falcó +2 more
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SCALING AND EIGENFUNCTION CORRELATIONS NEAR A MOBILITY EDGE
, 1990 The scaling form of the frequency- and wavevector-dependent diffusion constant is discussed near a mobility edge. The consequences are stressed of fractal eigenfunction fluctuations for behaviour in the low frequency, large wavevector regime ...
CHALKER, J
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Measurements of the eigenfunction of reversed shear Alfvén eigenmodes that sweep downward in frequency [PDF]
, 2013 Reversed shear Alfvén eigenmodes (RSAEs) usually sweep upward in frequency when the minimum value of the safety factor qmin decreases in time. On rare occasions, RSAEs sweep downward prior to the upward sweep.
Spong, DA +9 more
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Eigenfunction construction by classical periodic orbits
, 1998 textIn this dissertation, we devise a quantization scheme to construct eigenfunctions by classical periodic orbits in both regular systems as well as chaotic systems.
Jan, Ing-Chieh
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Boundary value problems for essentially-loaded parabolic equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper we investigate the first boundary value problem for essentially loaded equation of heat conduction, i.e. when laden terms are derivatives for any finite order.
M.I. Ramazanov +4 more
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