In this paper we consider a quasilinear Cauchy problem for the scale invariant damped wave equation with a particular structure of the nonlinear term that guarantees a blow up result and a lifespan estimate, assuming radial initial data having slow decay. In particular the range of admissible exponents p depends on μ, n and the rate of the initial data decay.
Lifespan estimates for a special quasilinear time-dependent damped wave equation
Giovanni Girardi;Lucente Sandra
2022-01-01
Abstract
In this paper we consider a quasilinear Cauchy problem for the scale invariant damped wave equation with a particular structure of the nonlinear term that guarantees a blow up result and a lifespan estimate, assuming radial initial data having slow decay. In particular the range of admissible exponents p depends on μ, n and the rate of the initial data decay.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
