Boundary behavior of solutions of a class of genuinely nonlinear hyperbolic systems
| dc.creator | Gevirtz, Julian | |
| dc.date | 2007-03-12 | |
| dc.date | 2007-09-16 | |
| dc.date.accessioned | 2026-07-07T08:29:31Z | |
| dc.date.available | 2026-07-07T08:29:31Z | |
| dc.description | For a certain class of genuinely nonlinear two-by-two planar hyperbolic systems we show that any classical solution on a smoothly bounded domain has nontangential boundary limits except on a set whose Hausdorff dimension is bounded by some system-dependent constant which is strictly less than 1 and, on the other hand, that for any system of the kind considered there is in fact a solution on a half-plane which fails to have nontangential limits at a set of boundary points of positive Hausdorff dimension. | |
| dc.description | 43 pages. This second version is largely the same as the first. The changes involve the correction of a number of errors, incorporation of some simplifications and more detailed proofs of a few of the propositions | |
| dc.identifier | https://arxiv.org/abs/math/0703294 | |
| dc.identifier | http://arxiv.org/abs/math/0703294 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137964 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35L40; 28A78 | |
| dc.title | Boundary behavior of solutions of a class of genuinely nonlinear hyperbolic systems | |
| dc.type | text |