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Microlocal dispersive smoothing for the Schrödinger equation |
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Communications on Pure and Applied Mathematics,
Volume 48,
Issue 8,
1995,
Page 769-860
Walter Craig,
Thomas Kappeler,
Walter Strauss,
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摘要:
AbstractThis paper establishes a connection between the microlocal smoothness of solutions of the initial value problem for Schrödinger's equation and the global behavior of bicharacteristics of the principal symbol. In particular, localized initial data gives rise to solutions which are microlocally smooth at all points which are not trapped backwards by the bicharacteristic flow. The origin of the phenomenon is in the dispersive nature of the equation. The results imply microlocal regularity properties of the fundamental solution. ©1995 John Wiley&Sons. In
ISSN:0010-3640
DOI:10.1002/cpa.3160480802
出版商:Wiley Subscription Services, Inc., A Wiley Company
年代:1995
数据来源: WILEY
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2. |
Instability of periodic BGK equilibria |
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Communications on Pure and Applied Mathematics,
Volume 48,
Issue 8,
1995,
Page 861-894
Yan Guo,
Walter A. Strauss,
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PDF (1087KB)
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摘要:
AbstractA collisionless plasma is described by the Vlasov‐Poisson equations. The BGK equilibria were proposed in 1957 as the simplest spatially‐dependent equilibria. Since that time the question of their instability has been an important open problem. We prove that certain periodic BGK equilibria are unstable. ©1995 John Wiley&Sons,
ISSN:0010-3640
DOI:10.1002/cpa.3160480803
出版商:Wiley Subscription Services, Inc., A Wiley Company
年代:1995
数据来源: WILEY
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3. |
Masthead |
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Communications on Pure and Applied Mathematics,
Volume 48,
Issue 8,
1995,
Page -
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PDF (29KB)
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ISSN:0010-3640
DOI:10.1002/cpa.3160480801
出版商:Wiley Subscription Services, Inc., A Wiley Company
年代:1995
数据来源: WILEY
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