Critical counterexamples for linear wave equations with time-dependent propagation speed
نویسندگان
چکیده
منابع مشابه
Linear hyperbolic equations with time-dependent propagation speed and strong damping
We consider a second order linear equation with a time-dependent coefficient c(t) in front of the “elastic” operator. For these equations it is well-known that a higher spaceregularity of initial data compensates a lower time-regularity of c(t). In this paper we investigate the influence of a strong dissipation, namely a friction term which depends on a power of the elastic operator. What we di...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2020
ISSN: 0022-0396
DOI: 10.1016/j.jde.2020.08.044