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Weak Solutions of a Semilinear Hyperbolic System on a Nondecreasing Domain

✍ Scribed by Takeyuki Nagasawa; Atsushi Tachikawa

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
544 KB
Volume
19
Category
Article
ISSN
0170-4214

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✦ Synopsis

The initial-boundary value problem in non-cylindrical domain for a semilinear hyperbolic system is investigated. A weak solution is constructed by the method of scmidiscretization in time variable combining with variational calculus, when the time sections of domain has non-decreasing property.

X 0 , r = a ~o , r \ { ( Q ( r J ) x {rJl)u(Q(4 x {4)>.

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