Differential and Integral Equations
- Differential Integral Equations
- Volume 8, Number 4 (1995), 877-886.
On linear hyperbolic systems with multiple characteristics
In this paper, the $L^p$ behavior of systems of linear, hyperbolic partial differential equations is examined by means of the theory of integrated semigroups. We show in particular how the degree of integration and therefore the regularity of the solution depends on the multiplicity of the eigenvalues of the symbol.
Differential Integral Equations, Volume 8, Number 4 (1995), 877-886.
First available in Project Euclid: 20 May 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35L40: First-order hyperbolic systems
Secondary: 35L55: Higher-order hyperbolic systems 47D06: One-parameter semigroups and linear evolution equations [See also 34G10, 34K30] 47N20: Applications to differential and integral equations
Hieber, Matthias. On linear hyperbolic systems with multiple characteristics. Differential Integral Equations 8 (1995), no. 4, 877--886. https://projecteuclid.org/euclid.die/1369055616