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Pietro Majer
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|\nabla u|^2=f(u(r))$|\nabla u|^2=f(u(r))$ is a special case of the eikonal equation. You could advise any good book on pdes. Also you will need to sharpen your knowledge on Hamilton-Jacobi methods.

ps. Oops, beaten to it.

|\nabla u|^2=f(u(r)) is a special case of the eikonal equation. You could advise any good book on pdes. Also you will need to sharpen your knowledge on Hamilton-Jacobi methods.

ps. Oops, beaten to it.

$|\nabla u|^2=f(u(r))$ is a special case of the eikonal equation. You could advise any good book on pdes. Also you will need to sharpen your knowledge on Hamilton-Jacobi methods.

ps. Oops, beaten to it.

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Rebs
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|\nabla u|^2=f(u(r)) is a special case of the eikonal equation. You could advise any good book on pdes. Also you will need to sharpen your knowledge on Hamilton-Jacobi methods.

ps. Oops, beaten to it.