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Can anyone recommend lecture notes or (not too obscure) books that teaches me about gradient flow and what it has to do with PDEs? I did search but usually the material talks about dynamical systems which I don't want too much of. Something understandable by someone that knows about basic parabolic existence results would be good, and something that doesn't require knowledge of Riemannian geometry.

Thanks.

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Evans Partial differential equations – user139769 Jun 24 '14 at 1:23

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