International Journal of Mathematics and Mathematical Sciences (Jan 1998)

Global classical solutions to the Cauchy problem for a nonlinear wave equation

  • Haroldo R. Clark

DOI
https://doi.org/10.1155/S016117129800074X
Journal volume & issue
Vol. 21, no. 3
pp. 533 – 548

Abstract

Read online

In this paper we consider the Cauchy problem {u″+M(|A12u|2)Au=0 in ]0,T[u(0)=u0, u′(0)=u1, where u′ is the derivative in the sense of distributions and |A12u| is the H-norm of A12u. We prove the existence and uniqueness of global classical solution.

Keywords