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| 1. |
Uniform convergence of a singular perturbation problem |
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Communications on Pure and Applied Mathematics,
Volume 48,
Issue 1,
1995,
Page 1-12
Luis A. Caffarelli,
Antonio Córdoba,
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ISSN:0010-3640
DOI:10.1002/cpa.3160480101
出版商:Wiley Subscription Services, Inc., A Wiley Company
年代:1995
数据来源: WILEY
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| 2. |
Parametrices for a class of schrodinger equations |
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Communications on Pure and Applied Mathematics,
Volume 48,
Issue 1,
1995,
Page 13-78
François Treves,
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摘要:
AbstractThe article describes the construction of a parametrix, global in space, in the initial value problem for the Schrödinger equation i∂u/∂t= δu‐Q(x)u‐V(x)u, withQa real quadratic form andVa realpotential in. The hypothesis onVis that ∣V(x)∣ ≤ const. ∣x∣, and ∣V(α)(x)∣ ≤ const. ∣x∣1‐∣α∣(as ∣x∣ → + ∞). By conjugating the equation with the unitary group exp(itH)(H= ‐δ +Q(x)) the problem is reduced to a hyperbolic pseudodifferential operator to which a global version of the geometric optics method applies. The symbolic calculus used by the construction is based on weig
ISSN:0010-3640
DOI:10.1002/cpa.3160480102
出版商:Wiley Subscription Services, Inc., A Wiley Company
年代:1995
数据来源: WILEY
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Volume 48 issue 1