Charlie Elliott: Papers: Viscosity solutions, Hamilton-Jacobi and eikonal equations

Numerical analysis for an inverse problem for the eikonal equation

(K. P. Deckelnick, C. M. Elliott and V. M. Styles) Numerische Mathematik 119 (2011) 245--269

Optimal control of the propagation of a graph in inhomogeneous media

(K. P. Deckelnick, C. M. Elliott and V. M. Styles) SIAM J. Control and Optimisation 48 (2009) 1335--1352

Uniqueness and error analysis for Hamilton Jacobi equations with discontinuities

(K. P. Deckelnick and C. M. Elliott) Interfaces and Free Boundaries 6 (2004) 329--349

Dynamic boundary conditions for Hamilton-Jacobi equations

(C. M. Elliott, Y. Giga and S. Goto) SIAM J. Mathematical Analysis 34 (2003) 861--881

Finite difference approximation of a one dimensional Hamilton-Jacobi/elliptic system arising in superconductivity

(A. J. Briggs, J. R. Claisse and C. M. Elliott) IMA J. Num. Anal. 22 (2002) 89--131

Viscosity solutions of a degenerate parabolic-elliptic system arising in the mean field theory of superconductivity

(C. M. Elliott, R. Schatzle and B. E. E. Stoth) Arch. Rational Mech. Anal. 145 (1998) 99--127

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