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Conditional global regularity of Schroedinger maps: sub-threshold dispersed energy
Conditional global regularity Schroedinger maps sub-threshold dispersed energy
2011/2/22
We consider the Schr¨odinger map initial value problem ( ∂tϕ = ϕ × ϕ ϕ(x, 0) = ϕ0(x),
with ϕ0 : R2 ! S2 ֒! R3 a smooth H1 Q map from the Euclidean space R2 ...
On the convergence on nonlinear Padé--Chebyshev approximations to the multivalued analytic functions, variation of equilibrium energy and $S$-property of stationary compacts
convergence on nonlinear Padé--Chebyshev approximations to the multivalued analytic functions variation of equilibrium energy $S$-property of stationary compacts
2011/1/17
Исследуется сходимость диагональных нелинейных аппрокси-маций Паде–Чебышёва для многозначных аналитических функ-ций, заданных и вещественнозначных на единичном отрезке [−1, 1].Получен аналог кла...
Energy and local energy bounds for the 1-D cubic NLS equation in H^{-1/4}
Energy local energy bounds 1-D cubic NLS equation
2011/1/17
We consider the cubic Nonlinear Schr¨odinger Equation (NLS) in one space dimension, either focusing or defocusing. We prove that the solutions satisfy a-priori local in time Hs bounds in terms of the ...