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


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

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

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


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


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