In this paper, we derive L-1-L-1 long time estimates for the strongly damped plate equationu(tt) Delta(2)u Delta(2)u(t) = 0 x is an element of R-n, x is an element of R-n u(0, x) = uo(x), ut(0,x) = uj(x).In particular, we prove thatparallel to u(t, .)parallel to(L-1 <= C(1+t) n/7)parallel to u(0) parallel to L-1 + (1+t)1/2 parallel to u(1)parallel to L-1),for any t > 0, in space dimension n >= 5. (C) 2019 Elsevier Inc. All rights reserved.
L1 − L1 estimates for the strongly damped plate equation / D'Abbicco, M.; Girardi, G.; Liang, Jinju. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 478:2(2019), pp. 476-498. [10.1016/j.jmaa.2019.05.039]
L1 − L1 estimates for the strongly damped plate equation
G. Girardi;
2019-01-01
Abstract
In this paper, we derive L-1-L-1 long time estimates for the strongly damped plate equationu(tt) Delta(2)u Delta(2)u(t) = 0 x is an element of R-n, x is an element of R-n u(0, x) = uo(x), ut(0,x) = uj(x).In particular, we prove thatparallel to u(t, .)parallel to(L-1 <= C(1+t) n/7)parallel to u(0) parallel to L-1 + (1+t)1/2 parallel to u(1)parallel to L-1),for any t > 0, in space dimension n >= 5. (C) 2019 Elsevier Inc. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
