Abstract
Following a recent paper of the authors in Communications in Partial Differential Equations, this paper establishes the global existence of weak solutions to a nonlinear variational wave equation under relaxed conditions on the initial data so that the solutions can contain singularities (blow-up). Propagation of local oscillations along one family of characteristics remains under control despite singularity formation in the other family of characteristics.
| Original language | English (US) |
|---|---|
| Article number | 0252-9599(2001)02-0159-12 |
| Pages (from-to) | 159-170 |
| Number of pages | 12 |
| Journal | Chinese Annals of Mathematics. Series B |
| Volume | 22 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2001 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics