The goal of this survey article is to explain the up-to-date state of the theory of L p—L q
decay estimates for wave equations with time-dependent coefficients. We explain the …

The goal of the present paper is to derive $ L^ pL^ q $ estimates for wave equations with a
bounded time dependent coefficient. A classification of the oscillating behaviour of the …

One of the most important questions in the theory of nonlinear wave equations is that for
global existence of solutions. An essential tool is the Strichartz inequality for special …

Starting with the well-known Strichartz decay estimate for the wave equation we are
interested in a similar estimate for wave equations with a time dependent coefficient. The …

These notes provide an introduction to and a survey on recent results about the long-time
behaviour of solutions to systems of hyperbolic partial differential equations with time …

The aim of this paper is to understand the influence of the interplay between a time-
dependent increasing speed of propagation and a timedependent coefficient in the …

Generalised energy conservation law for wave equations with variable propagation speed
Page 1 J. Math. Anal. Appl. 358 (2009) 56–74 Contents lists available at ScienceDirect …

The aim of this note is to extend the energy decay estimates from [J. Wirth, Wave equations
with time-dependent-dissipation. I: Non-effective dissipation, J. Differential Equations 222 …

We consider the Cauchy problem for second‐order strictly hyperbolic equations with time‐
depending non‐regular coefficients. There is a possibility that singular coefficients make a …

Dispersive and Strichartz estimates for solutions to general strictly hyperbolic partial
differential equations with constant coefficients are considered. The global time decay …