Ruptured-Disk
发表于 2025-3-23 09:42:25
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情节剧
发表于 2025-3-23 15:24:26
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外露
发表于 2025-3-23 20:52:16
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单调女
发表于 2025-3-23 23:16:51
Local Smoothing with a Prescribed Loss for the Schrödinger EquationIn ., the Schrödinger propagator at time . is unitary on .. spaces. However, solutions to the linear Schrödinger equation on . are smoother . in time, and . in space:
FAST
发表于 2025-3-24 02:50:35
Propagation Through Trapped Sets and Semiclassical Resolvent EstimatesLet .,..We are interested in semiclassical resolvent estimates of the form. for . > 0,. with.,. > 1 ∕ 2. We ask: how is the function .(.) for which (1) holds affected by the relationship between the support of . and the trapped set at energy ., defined by .Here .and ..
施魔法
发表于 2025-3-24 07:54:35
A Nonlinear Adiabatic Theorem for Coherent StatesWe present a result obtained in collaboration with Rémi Carles on the propagation of coherent states for a 1-d cubic nonlinear Schrödinger equation in a semi-classical regime (.):
watertight,
发表于 2025-3-24 12:37:39
The Effective Hamiltonian in Curved Quantum Waveguides and When It Does Not WorkWe are concerned with the singular operator limit for the Dirichlet Laplacian in a three-dimensional curved tube (cf. Fig. 1) when its cross-section shrinks to zero.
起皱纹
发表于 2025-3-24 17:27:38
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GREG
发表于 2025-3-24 21:46:34
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态学
发表于 2025-3-25 00:24:15
On the Closure of Elliptic Wedge OperatorsWe present a semi-Fredholm theorem for the minimal extension of an elliptic differential operator on a manifold with wedge singularities and give, under suitable assumptions, a full asymptotic expansion of the trace of the resolvent.