Heat Invariants of the Steklov Problem
暂无分享,去创建一个
[1] Siye Wu,et al. Determinant of the Neumann operator on smooth Jordan curves , 1991 .
[2] M. Zworski,et al. Resonant Rigidity of S2 , 1999 .
[3] Gian-Carlo Rota,et al. The analysis of partial differential operators: I. Hormander, Springer, 1985, Vol. 1, 391 pp.; Vol. 2, 390 pp.; Vol. 3, 525 pp.; Vol. 4, 351 pp. , 1986 .
[4] Richard Schoen,et al. The first Steklov eigenvalue, conformal geometry, and minimal surfaces , 2009, 0912.5392.
[5] I. Polterovich. Combinatorics of the Heat Trace on Spheres , 2001, Canadian Journal of Mathematics.
[6] Binoy,et al. Sharp upper bound and a comparison theorem for the first nonzero Steklov eigenvalue , 2012, 1208.1690.
[7] Peter B. Gilkey,et al. Asymptotic Formulae in Spectral Geometry , 2003 .
[8] Antoine Henrot,et al. Extremum Problems for Eigenvalues of Elliptic Operators , 2006 .
[9] Ahmad El Soufi,et al. Isoperimetric control of the Steklov spectrum , 2011, 1103.2863.
[10] I. Holopainen. Riemannian Geometry , 1927, Nature.
[11] Michael E. Taylor,et al. Partial Differential Equations II: Qualitative Studies of Linear Equations , 1996 .
[12] J. Lira,et al. CONSTANT HIGHER-ORDER MEAN CURVATURE HYPERSURFACES IN RIEMANNIAN SPACES , 2003, Journal of the Institute of Mathematics of Jussieu.
[13] Pierre Jammes. Prescription du spectre de Steklov dans une classe conforme , 2012, 1209.4571.
[14] E. M. Hartwell. Boston , 1906 .
[15] J. Edward,et al. An inverse spectral result for the Neumann operator on planar domains , 1993 .
[16] S. Tanno. Eigenvalues of the Laplacian of Riemannian manifolds , 1973 .
[17] Joseph Lipka,et al. A Table of Integrals , 2010 .
[18] Peter B. Gilkey,et al. Logarithmic terms in asymptotic expansions of heat operator traces , 1998 .
[19] V. Guillemin,et al. The spectrum of positive elliptic operators and periodic bicharacteristics , 1975 .
[20] S. Goldberg. A uniqueness theorem for surfaces in the large , 1977 .
[21] V. Guillemin. The radon transform on zoll surfaces , 1976 .
[22] A. Besse. Manifolds all of whose Geodesics are Closed , 2011 .
[23] Robert Weinstock,et al. Inequalities for a Classical Eigenvalue Problem , 1954 .
[24] Friedemann Brock,et al. An Isoperimetric Inequality for Eigenvalues of the Stekloff Problem , 2001 .
[25] Brian Davies,et al. Partial Differential Equations II , 2002 .
[26] P. Hislop,et al. Spectral asymptotics of the Dirichlet-to-Neumann map on multiply connected domains in R d , 2001 .
[27] Robert T. Seeley,et al. Complex powers of an elliptic operator , 1967 .
[28] M. Agranovich. Some asymptotic formulas for elliptic pseudodifferential operators , 1987 .
[29] G. Grubb,et al. Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems , 1995 .
[30] Iosif Polterovich,et al. Upper bounds for Steklov eigenvalues on surfaces , 2012, 1202.5108.
[31] R. Schoen,et al. Sharp eigenvalue bounds and minimal surfaces in the ball , 2012, 1209.3789.
[32] S. Zelditch. Maximally degenerate laplacians , 1996 .
[33] John M. Lee,et al. Determining anisotropic real-analytic conductivities by boundary measurements , 1989 .
[34] I. Polterovich,et al. Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces , 2012, 1209.4869.
[35] C. Stolk. The Radon transform , 2014 .
[36] Iosif Polterovich,et al. Shape optimization for low Neumann and Steklov eigenvalues , 2008, 0811.2617.