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The Cauchy problem for properly hyperbolic equations in one space variable.
- Source :
- Journal of Hyperbolic Differential Equations; Sep2022, Vol. 19 Issue 3, p439-466, 28p
- Publication Year :
- 2022
-
Abstract
- In this paper, we consider the Cauchy problem for higher-order weakly hyperbolic equations assuming that the principal symbol depends only on one space variable and the characteristic roots τ j verify an inequality like τ j 2 (x) + τ k 2 (x) ≤ M (τ j (x) − τ k (x)) 2. We prove that the Cauchy problem is well-posed in ∞ if the operators with frozen coefficients are uniformly hyperbolic in the sense of Gårding. [ABSTRACT FROM AUTHOR]
- Subjects :
- CAUCHY problem
EQUATIONS
HYPERBOLIC differential equations
Subjects
Details
- Language :
- English
- ISSN :
- 02198916
- Volume :
- 19
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Journal of Hyperbolic Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 159813754
- Full Text :
- https://doi.org/10.1142/S0219891622500138