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Kato theorem

The Kato theorem, or Kato's cusp condition, is used in computational quantum physics. It states that for generalized Coulomb potentials, the electron… Expand
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Highly Cited
2014
Highly Cited
2014
This paper establishes the local-in-time existence and uniqueness of strong solutions in Hs for s > n/2 to the viscous, non… Expand
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Highly Cited
2012
Highly Cited
2012
Splitting methods have recently received much attention due to the fact that many nonlinear problems arising in applied areas… Expand
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2009
2009
In their article published in the “Nature” journal, Myrskyla et al. (2009) claimed that in highly developed countries development… Expand
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Highly Cited
2009
Highly Cited
2009
Abstract Ultrafine particle (sub-100 nm in diameter) can transport toxic chemicals into the human respiratory system, causing… Expand
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Highly Cited
2009
Highly Cited
2009
Type Ia supernovae (SNe Ia) play an important role in astrophysics, especially in the study of cosmic evolution. Several… Expand
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Highly Cited
2005
Highly Cited
2005
Arc magmas and the continental crust share many chemical features, but a major question remains as to whether these features are… Expand
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Highly Cited
2004
Highly Cited
2004
[1] For the large geomagnetic disturbance on April 11, 2001, we combine data from the Millstone Hill radar, a network of GPS TEC… Expand
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Highly Cited
1998
Highly Cited
1998
We prove the adiabatic theorem for quantum evolution without the traditional gap condition. We show that the theorem holds… Expand
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Highly Cited
1998
Highly Cited
1998
We present formulations of the Trotter-Kato theorem for approximation of linear C 0 -semigroups which provide very useful… Expand
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1963
1963
A single injection of dextran into rats produces hyperaemia, pruritus and oedema of the face, ears and paws (Voorhees et al… Expand
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