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I've been recently reading the book on PDE by Evans,and I had a hard time understanding the part about Hamilton-Jacobi equation in chapter 3.I wonder if there are any other materials on this subject,which can help me capture some intuition on Legendre transform and the derivation of Hopf-Lax formula.Thank you!!

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  • $\begingroup$ Could you please give a link to the Evans book ?. Thanks. $\endgroup$ – Felix Marin Nov 22 '13 at 14:48
  • $\begingroup$ I already found it. Thanks. $\endgroup$ – Felix Marin Nov 22 '13 at 14:53
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For intuition about Legendre transform as well as for Hamilton Jacobi equation, I would recommend Classical Mechanics by H.Goldstein.

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