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On the existence and uniqueness of solutions for a class of variational inequalities with applications to the signorini problem in mechanics

✍ Scribed by Zhang Shi-sheng; Xiang Shu-wen


Publisher
Springer
Year
1991
Tongue
English
Weight
301 KB
Volume
12
Category
Article
ISSN
0253-4827

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## Communicated by G. F. Roach We consider the Cauchy problem for the damped Boussinesq equation governing long wave propagation in a viscous fluid of small depth. For the cases of one, two, and three space dimensions local in time existence and uniqueness of a solution is proved. We show that for

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A question of the existence of fiolutions of boundary-value problems for differential equations with parameter was considered by many authors, see [1]-[3] and [5]-[9]. The analogous problems for differential equations with a deviated argument was discussed in [8] and [3]. The purpose of this paper