In:
International Journal of Mathematics and Mathematical Sciences, Hindawi Limited, Vol. 15, No. 3 ( 1992), p. 543-552
Abstract:
In this paper we consider the nonlinear degenerate evolution equation with strong damping, ( * ) { K ( x , t ) u t t − Δ u − Δ u t + F ( u ) = 0 in Q = Ω × ] 0 , T [ u ( x , 0 ) = u 0 , ( k u ′ ) ( x , 0 ) = 0 in Ω u ( x , t ) = 0 on ∑ = Γ × ] 0 , T [ where K is a function with K ( x , t ) ≥ 0 , K ( x , 0 ) = 0 and F is a continuous real function satisfying ( * * ) s F ( s ) ≥ 0 , for all s ∈ R , Ω is a bounded domain of R n , with smooth boundary Γ . We prove the existence of a global weak solution for (*).
Type of Medium:
Online Resource
ISSN:
0161-1712
,
1687-0425
DOI:
10.1155/S016117129200070X
Language:
English
Publisher:
Hindawi Limited
Publication Date:
1992
detail.hit.zdb_id:
1492203-4
SSG:
17,1
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