Global Well Posedness and Regularity Issues Associated with Singular Hyperbolic Cauchy Problems

Abstract

Loss of regularity of solutions to hyperbolic partial differential equations is one of the newlinecentral research issues in classical as well as modern analysis of partial differential equations. Suprisingly perhaps, this phenomenon of loss which is well-known in the study newlineof degenerate hyperbolic equations with regular coefficients appears even in the case of strictly hyperbolic equations when the coefficients are irregular newline