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On the improvement of the Hardy inequality due to singular magnetic fields 

Fanelli, L.Autoridad BCAM; Krejcirik, D.; Laptev, A.; Vega, L.Autoridad BCAM (2018-07-12)
We establish magnetic improvements upon the classical Hardy inequality for two specific choices of singular magnetic fields. First, we consider the Aharonov-Bohm field in all dimensions and establish a sharp Hardy-type ...
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On the improvement of the Hardy inequality due to singular magnetic fields 

Fanelli, L.Autoridad BCAM; Krejcirik, D.; Laptev, A.; Vega, L.Autoridad BCAM (2018-07-12)
We establish magnetic improvements upon the classical Hardy inequality for two specific choices of singular magnetic fields. First, we consider the Aharonov-Bohm field in all dimensions and establish a sharp Hardy-type ...
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Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation 

Correia, S.; Côte, R.; Vega, L.Autoridad BCAM (2018-07-06)
We give the asymptotics of the Fourier transform of self-similar solutions to the modified Korteweg-de Vries equation, through a fixed point argument in weighted $W^{1,\infty}$ around a carefully chosen, two term ansatz. ...
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Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation 

Correia, S.; Côte, R.; Vega, L.Autoridad BCAM (2018-07-06)
We give the asymptotics of the Fourier transform of self-similar solutions to the modified Korteweg-de Vries equation, through a fixed point argument in weighted W1,8 around a carefully chosen, two term ansatz. Such knowledge ...
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On the regularity of solutions to the k-generalized korteweg-de vries equation 

Kenig, C.E.; Linares, F.; Ponce, G.; Vega, L.Autoridad BCAM (2018-07)
This work is concerned with special regularity properties of solutions to the k-generalized Korteweg-de Vries equation. In [Comm. Partial Differential Equations 40 (2015), 1336–1364] it was established that if the initial ...
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On the Relationship between the One-Corner Problem and the $M-$Corner Problem for the Vortex Filament Equation 

De la Hoz, F.; Vega, L.Autoridad BCAM (2018-06-28)
In this paper, we give evidence that the evolution of the vortex filament equation (VFE) for a regular M-corner polygon as initial datum can be explained at infinitesimal times as the superposition of M one-corner initial ...
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Spectral stability of Schrödinger operators with subordinated complex potentials 

Fanelli, L.Autoridad BCAM; Krejcirik, D.; Vega, L.Autoridad BCAM (2018-06-28)
We prove that the spectrum of Schroedinger operators in three dimensions is purely continuous and coincides with the non-negative semiaxis for all potentials satisfying a form-subordinate smallness condition. By developing ...
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Variable Lorentz estimate for nonlinear elliptic equations with partially regular nonlinearities 

Liang, S.; Zheng, S. (2018-02-15)
We prove global Calder\'on-Zygmund type estimate in Lorentz spaces for variable power of the gradients to weak solution of nonlinear elliptic equations in a non-smooth domain. We mainly assume that the nonlinearities are ...
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Robust numerical methods for nonlocal (and local) equations of porous medium type. Part II: Schemes and experiments 

Del Teso, F.; Endal, J.; Jacobsen, E.R. (2018)
\noindent We develop a unified and easy to use framework to study robust fully discrete numerical methods for nonlinear degenerate diffusion equations $$ \partial_t u-\mathfrak{L}[\varphi(u)]=f(x,t) \qquad\text{in}\qquad ...
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Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds 

Beltran, D.; Hickman, J.; Sogge, C.D. (2018)
The sharp Wolff-type decoupling estimates of Bourgain--Demeter are extended to the variable coefficient setting. These results are applied to obtain new sharp local smoothing estimates for wave equations on compact Riemannian ...
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AuthorVega, L. (9)Fanelli, L. (4)Krejcirik, D. (4)Beltran, D. (3)Cassano, B. (2)Correia, S. (2)Côte, R. (2)Laptev, A. (2)Linares, F. (2)Ponce, G. (2)... másSubjectNonlinear dispersive equation (2)Propagation of regularity (2)a priori estimates (1)Absence of eigenvalues (1)Birman-Schwinger principle (1)convergence (1)Coulomb potential (1)Dirac operator (1)Dirac operator, unique continuation, complex potentials, localization of eigenfunctions (1)distributional solutions (1)... másFecha
2018 (17)

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