On the Cauchy problem of degenerate hyperbolic equations
Journal
Transactions of the American Mathematical Society
Journal Volume
358
Journal Issue
9
Pages
4021-4044
Date Issued
2006
Author(s)
Abstract
In this paper, we study a class of degenerate hyperbolic equations and prove the existence of smooth solutions for Cauchy problems. The existence result is based on a priori estimates of Sobolev norms of solutions. Such estimates illustrate a loss of derivatives because of the degeneracy.
Type
journal article