We prove results of well-posedness of the global Cauchy problem in Sobolev spaces for a class of evolution equations with real characteristics that contains an Euler– Bernoulli vibrating beam model. We consider non-Lipschitz coefficients with respect to the time variable t and study the sharp rate of their oscillations. This is coupled with some necessary decay conditions as the spatial variable x → ∞.
M. Cicognani, M. Reissig (2011). On Schrödinger type evolution equations with non-Lipschitz coefficients. ANNALI DI MATEMATICA PURA ED APPLICATA, 190, 645-665 [10.1007/s10231-010-0167-9].
On Schrödinger type evolution equations with non-Lipschitz coefficients
CICOGNANI, MASSIMO;
2011
Abstract
We prove results of well-posedness of the global Cauchy problem in Sobolev spaces for a class of evolution equations with real characteristics that contains an Euler– Bernoulli vibrating beam model. We consider non-Lipschitz coefficients with respect to the time variable t and study the sharp rate of their oscillations. This is coupled with some necessary decay conditions as the spatial variable x → ∞.File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
