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| 1. |
On isospectral periodic potentials in Rn. II |
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Communications on Pure and Applied Mathematics,
Volume 37,
Issue 6,
1984,
Page 715-753
Gregory Eskin,
James Ralston,
Eugene Trubowitz,
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ISSN:0010-3640
DOI:10.1002/cpa.3160370602
出版商:Wiley Subscription Services, Inc., A Wiley Company
年代:1984
数据来源: WILEY
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| 2. |
Numerical simulation of singular solutions to the two‐dimensional cubic schrödinger equation |
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Communications on Pure and Applied Mathematics,
Volume 37,
Issue 6,
1984,
Page 755-778
P. L. Sulem,
C. Sulem,
A. Patera,
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PDF (747KB)
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摘要:
AbstractNumerical simulations of the cubic nonlinear Schrödinger equation are presented in dimensionN= 2. The emphasis is on a detailed mechanism of blow up. The numerical results indicate that the blow up is not restricted to the case where the problem is posed in the entireR2‐space but also occurs with periodic boundary conditions. The structure of the solution as the singular timet*is approached has been investigated using examples with and without radial symmetry and/or periodicity. In most cases we observe that the amplitude develops something like the peaked self‐similar profile predicted by Zakharov and Synakh [38] which has a (t*‐t)‐2/3maximum amplitude and a (t*‐
ISSN:0010-3640
DOI:10.1002/cpa.3160370603
出版商:Wiley Subscription Services, Inc., A Wiley Company
年代:1984
数据来源: WILEY
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| 3. |
Translation representations for automorphic solutions of the wave equation in non‐euclidean spaces. II |
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Communications on Pure and Applied Mathematics,
Volume 37,
Issue 6,
1984,
Page 779-813
Peter D. Lax,
Ralph S. Phillips,
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摘要:
AbstractIn this part we prove that the translation representation defined in Part I for the non‐Euclidean wave equation is complete. We show how one can derive from this translation representation a spectral representation for the Laplace‐Beltrami operator over geometrically finite fundamental polyhedra with infinite volume, without the use of Eisenstein ser
ISSN:0010-3640
DOI:10.1002/cpa.3160370604
出版商:Wiley Subscription Services, Inc., A Wiley Company
年代:1984
数据来源: WILEY
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| 4. |
On the piano movers' problem: V. The case of a rod moving in three‐dimensional space amidst polyhedral obstacles |
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Communications on Pure and Applied Mathematics,
Volume 37,
Issue 6,
1984,
Page 815-848
Jacob T. Schwartz,
Micha Sharir,
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摘要:
AbstractThis paper, a fifth in a series, solves some additional 3‐D special cases of the „piano movers”︁ problem, which arises in robotics. The main problem solved in this paper is that of planning the motion of a rod moving amidst polyhedral obstacles. We present polynomial‐time motion‐planning algorithms for this case, using the connectivity‐graph technique described in the preceding papers. We also study certain more general polyhedral problems, which arise in the motion planning problem considered here but have application to other similar problems. Application of these techniques to the problem of planning the motion of a general polyhedral body moving in 3‐space amidst polyhedral obstacles is
ISSN:0010-3640
DOI:10.1002/cpa.3160370605
出版商:Wiley Subscription Services, Inc., A Wiley Company
年代:1984
数据来源: WILEY
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| 5. |
Masthead |
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Communications on Pure and Applied Mathematics,
Volume 37,
Issue 6,
1984,
Page -
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PDF (24KB)
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ISSN:0010-3640
DOI:10.1002/cpa.3160370601
出版商:Wiley Subscription Services, Inc., A Wiley Company
年代:1984
数据来源: WILEY
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