Hamilton—Jacobi Equations and Distance Functions on Riemannian Manifolds
暂无分享,去创建一个
[1] Kevin Barraclough,et al. I and i , 2001, BMJ : British Medical Journal.
[2] Luigi Ambrosio,et al. Curvature and distance function from a manifold , 1998 .
[3] M. Delfour,et al. Shape analysis via dis-tance functions: Local theory , 1998 .
[4] M. Bardi,et al. Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations , 1997 .
[5] M. Delfour,et al. Shape Analysis via Oriented Distance Functions , 1994 .
[6] Giovanni Alberti,et al. On the singularities of convex functions , 1992 .
[7] P. Lions,et al. User’s guide to viscosity solutions of second order partial differential equations , 1992, math/9207212.
[8] H. Ishii,et al. Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domains , 1991 .
[9] L. Ambrosio. Existence theory for a new class of variational problems , 1990 .
[10] P. Lions,et al. Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations. , 1984 .
[11] H. Gluck,et al. The existence of nontriangulable cut loci , 1976 .
[12] S. Kružkov. GENERALIZED SOLUTIONS OF THE HAMILTON-JACOBI EQUATIONS OF EIKONAL TYPE. I. FORMULATION OF THE PROBLEMS; EXISTENCE, UNIQUENESS AND STABILITY THEOREMS; SOME PROPERTIES OF THE SOLUTIONS , 1975 .
[13] S B Myers,et al. Connections between Differential Geometry and Topology. , 1935, Proceedings of the National Academy of Sciences of the United States of America.
[14] Henri Poincaré,et al. Sur les lignes géodésiques des surfaces convexes , 1905 .
[15] T. O’Neil. Geometric Measure Theory , 2002 .
[16] H. Soner,et al. Level set approach to mean curvature flow in arbitrary codimension , 1996 .
[17] G. Alberti. On the structure of singular sets of convex functions , 1994 .
[18] H. Soner,et al. On the propagation of singularities of semi-convex functions , 1993 .
[19] Decision Systems.,et al. Variational problems in SBV , 1988 .
[20] H. Soner,et al. On the Singularities of the Viscosity Solutions to Hamilton-Jacobi-Bellman Equations , 1985 .
[21] Leon Simon,et al. Lectures on Geometric Measure Theory , 1984 .
[22] P. Lions. Generalized Solutions of Hamilton-Jacobi Equations , 1982 .
[23] Michael A. Buchner,et al. The structure of the cut locus in dimension less than or equal to six , 1978 .
[24] C. Wall. Geometric properties of generic differentiable manifolds , 1977 .
[25] A. Weinstein. The cut locus and conjugate locus of a Riemannian manifold , 1968 .