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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Improved error estimates of the splitting methods for the long-time dynamics for the weakly nonlinear Schrodinger equations
弱非线性薛定谔方程 长时间动力学 分裂方法 误差估计
2023/4/21
We establish improved uniform error bounds for the time-splitting methods for the long-time dynamics of the nonlinear Schr\"odinger equation (NLSE) with weak nonlinearity. By a new technique of regula...
Investigation of the relative bottomside/topside contribution to the total electron content estimates
bottom side electron content topside electron content ionispheric storm effect
2015/9/25
High-resolution vertical electron density true height profiles from Athens Digisonde are used to calculate the electron content up to the peak of the F 2 layer (bottomside electron content) and also t...
A new magnetotelluric monitoring network operating in Agri Valley (Southern Italy): study of stability of apparent resistivity estimates
magnetotelluric remote reference apparent resistivity curve earthquake precursors
2015/9/1
Variations detected in geophysical, especially electromagnetic, parameters in seismic active areas have been
sometimes attributed to modifications of the stress field. Among the different geophysical...
Price and Quantum Estimates of Peruvian Exports, 1830-1962
Price Quantum Estimates of Peruvian Exports
2014/3/24
Price and Quantum Estimates of Peruvian Exports, 1830-1962。
Quadratic estimates for perturbed Dirac type operators on doubling measure metric spaces
Quadratic estimates holomorphic functional calculi doubling measure measure metric space Dirac type operators
2011/9/15
Abstract: We consider perturbations of Dirac type operators on complete, connected metric spaces equipped with a doubling measure. Under a suitable set of assumptions, we prove quadratic estimates for...
A priori estimates for high frequency scattering by obstacles of arbitrary shape
high frequency scattering bstacles of arbitrary shape
2010/12/27
High frequency estimates for the Dirichlet-to-Neumann and Neumann-to-Dirichlet operators are obtained for the Helmholtz equation in the exterior of bounded obstacles. These a priory estimates are use...
A Physical Space Approach to Bilinear Wave Equations Estimates
Bilinear Wave Equations Estimates Space
2014/4/3
A paper written in collaboration with I. Rodnianski and T. Tao in which we expereiment with new proofs of bilinear estimates which have the potential to generalize to quasilinear equations.