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Evolution Equations Propagation Phenomena - Global Existence - Influence of Non-Linearities
This work is concerned with the influence of oscillations in weakly hyperbolic operators on the well-posedness of the Cauchy problem. The fundamental solution to the Cauchy problem is constructed for the equations with oscillations in the coefficient very close to the ones destroying the C ∞ well-posedness.doi:10.4064/bc60-0-10 fatcat:hc5mknjnvjazheh2ggtylfohnq