Asymptotic Behaviour of Solutions to Hyperbolic Partial Differential Equations

Abstract

These notes provide an introduction to and a survey on recent results about the long-time behaviour of solutions to hyperbolic partial differential equations with time-dependent coefficients. Particular emphasis is given also to questions about the sharpness of estimates. The selection of materials is based on the mini-courses taught by the first author at the CRM, Barcelona, and by the second author at Aalto University, Helsinki, both in 2011.

64 pages

References in corpus (2)

• $C^m$-theory of damped wave equations with stabilisation
• Block-diagonalisation of matrices and operators

Cited by in corpus (1)

• Asymptotically free property of the solutions of an abstract linear hyperbolic equation with time-dependent coefficients