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| 1. |
Global existence of harmonic maps in minkowski space |
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Communications on Pure and Applied Mathematics,
Volume 42,
Issue 1,
1989,
Page 1-13
Thomas C. Sideris,
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ISSN:0010-3640
DOI:10.1002/cpa.3160420102
出版商:Wiley Subscription Services, Inc., A Wiley Company
年代:1989
数据来源: WILEY
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| 2. |
On uniqueness and existence of viscosity solutions of fully nonlinear second‐order elliptic PDE's |
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Communications on Pure and Applied Mathematics,
Volume 42,
Issue 1,
1989,
Page 15-45
Hitoshi Ishii,
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摘要:
AbstractWe prove several comparison and existence theorems for viscosity solutions of fully nonlinear degenerate elliptic equations. One of them extends some recent uniqueness results by Jensen. Some establish the uniqueness of solutions for second‐order Isaacs' equations and hence include the uniqueness results for Bellman equations by P.‐L. Lions. Our comparison results apply even for discontinuous solutions and so Perron's method readily yields the existence of continuous soluti
ISSN:0010-3640
DOI:10.1002/cpa.3160420103
出版商:Wiley Subscription Services, Inc., A Wiley Company
年代:1989
数据来源: WILEY
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| 3. |
Compactness theorems for differential forms |
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Communications on Pure and Applied Mathematics,
Volume 42,
Issue 1,
1989,
Page 47-53
S. Kichenassamy,
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摘要:
AbstractWe prove compactness properties of various sets of differential forms with bounds on their exterior derivatives. This gives simple proofs of the Federer‐Fleming result on normal currents and of „compensated compactness”︁
ISSN:0010-3640
DOI:10.1002/cpa.3160420104
出版商:Wiley Subscription Services, Inc., A Wiley Company
年代:1989
数据来源: WILEY
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| 4. |
A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz |
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Communications on Pure and Applied Mathematics,
Volume 42,
Issue 1,
1989,
Page 55-78
Luis A. Caffarelli,
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ISSN:0010-3640
DOI:10.1002/cpa.3160420105
出版商:Wiley Subscription Services, Inc., A Wiley Company
年代:1989
数据来源: WILEY
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| 5. |
Fiber architecture of the left ventricular wall: An asymptotic analysis |
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Communications on Pure and Applied Mathematics,
Volume 42,
Issue 1,
1989,
Page 79-113
Charles S. Peskin,
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摘要:
AbstractThe goal of this paper is to derive the fiber architecture of the left ventricle from first principles. The principles used are (i) mechanical equilibrium, (ii) a stress tensor that is the sum of a hydrostatic pressure and a fiber stress, (iii) the assumption that fiber tubes have constant cross‐sectional area along their length, (iv) axial symmetry, and (v) the approximation that the thickness of the ventricular wall is small in comparison with the other wall dimensions. From these hypotheses, it is deduced that the cardiac muscle fibers areapproximategeodesics on a nested family of toroidal surfaces centered on a degenerate torus in the equatorial plane of the heart. (Exact geodesics are ruled out by the theory.) Formulae are derived for the fiber surfaces and the fiber‐angle distribution through the wall, and a differential equation is derived for the shape of the middle surface of the left ventricle. The results are in substantial agreement with experimental observati
ISSN:0010-3640
DOI:10.1002/cpa.3160420106
出版商:Wiley Subscription Services, Inc., A Wiley Company
年代:1989
数据来源: WILEY
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| 6. |
Forthcoming articles |
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Communications on Pure and Applied Mathematics,
Volume 42,
Issue 1,
1989,
Page -
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PDF (35KB)
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ISSN:0010-3640
DOI:10.1002/cpa.3160420107
出版商:Wiley Subscription Services, Inc., A Wiley Company
年代:1989
数据来源: WILEY
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