Representation theorem for the solution of weakly hyperbolic equations with fast oscillating coefficients

Tamotu Kinoshita, Karen Yagdjian
2003 Evolution Equations Propagation Phenomena - Global Existence - Influence of Non-Linearities   unpublished
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