Wavelet reference for PDE

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Can anyone recommend a very readable introduction to wavelets for use in theoretical PDE/harmonic analysis? I'm frustrated with the account in Lemarie-Rieusset's Navier-Stokes book since he provides little motivation. I've been told Daubechies' 1992 book is good. This similar question only produced one response and it looks much to abstract for my purpose. Unfortunately many books that sound promising (eg. Wavelets Made Easy) are intended for an applied audience.