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DISTRIBUTIONS WITH SINGULARITIES:Punctual and Local Study
DISTRIBUTIONS WITH SINGULARITIES Punctual and Local Study
2015/9/29
DISTRIBUTIONS WITH SINGULARITIES:Punctual and Local Study.
New Tight Frames of Curvelets and Optimal Representations of Objects with C2 Singularities
Curvelets wavelets second dyadic decomposition edges nonlinear approximation singularities thresholding Radon transform
2015/6/17
This paper introduces new tight frames of curvelets to address the problem of finding optimally sparse representations of objects with discontinuities along C2 edges.Conceptually, the curvelet transfo...
ON THE ABSENCE OF "SPLASH" SINGULARITIES IN THE CASE OF TWO-FLUID INTERFACES
SPLASH SINGULARITIES TWO-FLUID INTERFACES
2014/4/3
We show that "splash" singularities cannot develop in the case of locally smooth solutions of the two-uid interfaces in two dimensions. More precisely, we show that the scenario of formation of singul...
On eigenvalues of differential equations with singularities, discontinuity conditions and turning points
eigenvalues of differential equations singularities turning points
2010/9/20
We consider the Sturm-Liouville equation on the bounded interval with two singularities in end points. This equation contains one turning point together with discontinuity conditions, moreover the tur...
A_2-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space
hypersurfaces non-negative sectional curvature Euclidean space
2010/11/11
In a previous work, the authors gave a definition of `front bundles'. Using this, we give a realization theorem for wave fronts in space forms, like as in the fundamental theorem of surface theory. A...
Singularities of the asymptotic completion of developable Möbius strips
developable Mö bius strips math
2010/11/18
We prove that the asymptotic completion of a developable M\"obius strip in Euclidean three-space must have at least one singular point other than cuspidal edge singularities. Moreover, if the strip co...
Bounds for Asymptote Singularities of Certain Nonlinear Differential Equations
Bounded operator Comparison methods Generalized Emden-Fowler equations Nonlinear differential equations Vertical asymptote
2008/7/2
Bounds for Asymptote Singularities of Certain Nonlinear Differential Equations.
Removable singularities of solutions of A-harmonic type equations
A-harmonic type equation Removable singularity Caccioppoli type estimate
2007/12/11
A Caccioppoli type estimate is established for a classof second order PDEs of divergence type, and its removablesingularities of Hausdorff dimension greater than zero isobtained.