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On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols 

Covi, G.; García-Ferrero, M.A.; Rüland, A. (2022-12-25)
In this article we consider direct and inverse problems for α-stable, elliptic nonlocal operators whose kernels are possibly only supported on cones and which satisfy the structural condition of directional antilocality ...
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The Frisch–Parisi formalism for fluctuations of the Schrödinger equation 

Kumar, S.; Ponce Vanegas, F.Autoridad BCAM; Roncal, L.Autoridad BCAM; Vega, L.Autoridad BCAM (2022)
We consider the solution of the Schrödinger equation $u$ in $\mathbb{R}$ when the initial datum tends to the Dirac comb. Let $h_{\text{p}, \delta}(t)$ be the fluctuations in time of $\int\lvert x \rvert^{2\delta}\lvert ...
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Quasi-invariance of low regularity Gaussian measures under the gauge map of the periodic derivative NLS 

Genovese, G.; Lucà, R.Autoridad BCAM; Tzvetkov, N. (2022-01-01)
The periodic DNLS gauge is an anticipative map with singular generator which revealed crucial in the study of the periodic derivative NLS. We prove quasi-invariance of the Gaussian measure on L2(T) with covariance [1+(−Δ)s]−1 ...
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On the Schrödinger map for regular helical polygons in the hyperbolic space 

Kumar, S. (2022-01-01)
The main purpose of this article is to understand the evolution of X t = X s ∧− X ss , with X(s, 0) a regular polygonal curve with a nonzero torsion in the three-dimensional Minkowski space. Unlike in the case of the ...
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ENERGY CONSERVATION FOR 2D EULER WITH VORTICITY IN L(log L)α* 

Ciampa, G. (2022-01-01)
In these notes we discuss the conservation of the energy for weak solutions of the twodimensional incompressible Euler equations. Weak solutions with vorticity in (Formula presented) with p > 3/2 are always conservative, ...

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AuthorKumar, S. (2)Ciampa, G. (1)Covi, G. (1)García-Ferrero, M.A. (1)Genovese, G. (1)Lucà, R. (1)Ponce Vanegas, F. (1)Roncal, L. (1)Rüland, A. (1)Tzvetkov, N. (1)... másSubject2D Euler equations (1)Anticipative transformations (1)conservation of energy (1)Directional antilocality (1)Frisch--Parisi formalism (1)Gaussian measures (1)Inverse problem (1)Multifractals (1)Nonlocal operators (1)Schrödinger equation (1)... másFecha
2022 (5)

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