Results 261 to 270 of about 3,545,090 (308)

A conditional dilatation equation

Aequationes Mathematicae, 1992
Let \(k\) be a positive constant and let \(X\) be a real normed space of dimension \(\geq 3\). Functions \(f:X\to X\) and \(g:X\times X\to R\) for which \(\| x-y\|=k\Rightarrow f(x)-f(y)=g(x,y)(x-y)\) are found.
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Dilatations and factorizable equations

Journal of Physics A: Mathematical and General, 2005
Summary: In this paper, we show that the dilatation operator in one dimension can be used to enlarge the Lie algebra generated by the raising and lowering operators for some classes of special functions. As a result, we are able to derive new recursion relations and addition formulae for these functions.
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Quadratic variation functionals and dilation equations

Potential Analysis, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gundy, Richard F., Iribarren, Ileana
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Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case

, 2006
We prove, for the energy critical, focusing NLS, that for data whose energy is smaller than that of the standing wave, and whose homogeneous Sobolev norm H^1 is smaller than that of the standing wave and which is radial, we have global well-posedness and
C. Kenig, F. Merle
semanticscholar   +1 more source

Sobolev Characterization of Solutions of Dilation Equations

SIAM Journal on Mathematical Analysis, 1992
A technique of positive operators is applied to the study of the regularity (or smoothness) of the solutions of the two-scale (or ``refinement'' or ``dilation'') equations in the formulation of a multiresolution analysis. The sharp limit of the Sobolev exponent of the solution is given in terms of the spectral radius of a corresponding finite ...
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Dilation symmetries and equations on the lattice

Journal of Physics A: Mathematical and General, 1999
For nearest neighbour coupled systems on the one dimensional lattice with dilation symmetry \(u_{n,\tau}=tu_{n,t}+h_n(u_{n+1},u_n,u_{n-1})\) the authors establish an essentially equivalent, linearizable reduced system. Hence, for equations of this type the dilation symmetry implies linearizablility.
LEVI, Decio, Yamilov R.
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Blowup behaviour for the nonlinear Klein–Gordon equation

, 2012
We analyze the blowup behaviour of solutions to the focusing nonlinear Klein–Gordon equation in spatial dimensions $$d\ge 2$$d≥2. We obtain upper bounds on the blowup rate, both globally in space and in light cones. The results are sharp in the conformal
R. Killip, Betsy Stovall, M. Vişan
semanticscholar   +1 more source

ANALYZING DUCTILE FRACTURE USING DUAL DILATIONAL CONSTITUTIVE EQUATIONS

Fatigue & Fracture of Engineering Materials & Structures, 1994
Abstract— By adopting a suggestion made by Thomason, a new failure criterion for the Gurson‐Tvergaard model has been recently introduced by the authors. In this study, a method based on the Gurson‐Tvergaard constitutive model and the new failure criterion is applied to the analysis of ductile fracture.
Z. L. Zhang, E. Niemi
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Dilations and the Equation of a Line

Mathematics Teaching in the Middle School, 2016
Track students' understanding of proportional reasoning by combining transformational geometry, similar-triangle reasoning, and linear relationships.
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A canonical dilation of the Schrödinger equation

Russian Journal of Mathematical Physics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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