Necessary and sufficient conditions for hyperbolicity and weak hyperbolicity of systems with constant multiplicity, part I
| dc.contributor.author | Taglialatela, Giovanni | |
| dc.contributor.author | Vaillant, Jean | |
| dc.date.accessioned | 2021-12-10T20:58:25Z | |
| dc.date.available | 2021-12-10T20:58:25Z | |
| dc.date.issued | 2019-12-09 | |
| dc.description.abstract | We consider a linear system of partial differential equations, whose principal symbol is hyperbolic with characteristics of constant multiplicities. We define necessary and sufficient invariant condition in order the Cauchy problem to be well-posed in C∞. These conditions generalize the Levi conditions for scalar operators. The proof is based on the construction of a new non commutative determinant adapted to this case (and to the holomorphic case). | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 54 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Taglialatela, G., & Vaillant, J. (2019). Necessary and sufficient conditions for hyperbolicity and weak hyperbolicity of systems with constant multiplicity, part I. <i>Electronic Journal of Differential Equations, 2019</i>(130), pp. 1-54. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15043 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Cauchy problem | |
| dc.subject | Systems with constant multiplicity | |
| dc.subject | Levi conditions | |
| dc.title | Necessary and sufficient conditions for hyperbolicity and weak hyperbolicity of systems with constant multiplicity, part I | en_US |
| dc.type | Article |