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7 $begingroup$ Hyperbolic PDE (like the wave equation) are roughly speaking, PDE that satisfy the “finite propagation speed of information” property. They are ubiquitous in mathematical physics (essentially, most fundamental laws of nature are hyperbolic). However, do hyperbolic PDE occur in any other areas of mathematics that do not have ties to the real world ? ap.analysis-of-pdes soft-question share | cite | improve this question asked 2 days ago Vamsi Vamsi 1,630 15 27 $endgroup$