2014 | OriginalPaper | Chapter
Some interesting model cases
Authors : David Cruz-Uribe, Alberto Fiorenza, Michael Ruzhansky, Jens Wirth
Published in: Variable Lebesgue Spaces and Hyperbolic Systems
Publisher: Springer Basel
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We now look at equations with time-dependent coefficients. In this chapter we will review two scale invariant model cases, which can be treated by means of special functions. They both highlight a structural change in the behaviour of solutions when lower order terms become effective. This change is a true variable coefficient phenomenon, it can not arise for equations with constant coefficients as treated in Chapter 2.