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Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bernardi, Enrico Bove, Antonio Petkov, Vesselin |
| Copyright Year | 2010 |
| Abstract | We study a class of third order hyperbolic operators $P$ in $G = \Omega \cap \{0 \leq t \leq T\},\: \Omega \subset \R^{n+1}$ with triple characteristics on $t = 0$. We consider the case when the fundamental matrix of the principal symbol for $t = 0$ has a couple of non vanishing real eigenvalues and $P$ is strictly hyperbolic for $t > 0.$ We prove that $P$ is strongly hyperbolic, that is the Cauchy problem for $P + Q$ is well posed in $G$ for any lower order terms $Q$. |
| Starting Page | 1 |
| Ending Page | 13 |
| Page Count | 13 |
| File Format | PDF HTM / HTML |
| DOI | 10.5802/jedp.61 |
| Alternate Webpage(s) | http://jedp.cedram.org/cedram-bin/article/JEDP_2010____A4_0.pdf |
| Alternate Webpage(s) | https://jedp.centre-mersenne.org/article/JEDP_2010____A4_0.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/1010.3113v1.pdf |
| Alternate Webpage(s) | https://www.math.u-bordeaux.fr/~vpetkov/publications/confEDP3.pdf |
| Alternate Webpage(s) | https://doi.org/10.5802/jedp.61 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
