The current article is predicated at the Fermi Lectures I gave in may well, 1985, at Scuola Normale Superiore, Pisa, within which i mentioned quite a few equipment for fixing the Cauchy challenge for summary nonlinear differential equations of evolution style. the following I current an in depth exposition of 1 of those tools, which bargains with “elliptic-hyperbolic” equations within the summary shape and which has purposes, between different issues, to combined initial-boundary worth difficulties for definite nonlinear partial differential equations, comparable to elastodynamic and Schrödinger equations.
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