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Weak Solutions of a Semilinear Hyperbolic System on a Nondecreasing Domain
Author(s) -
Nagasawa Takeyuki,
Tachikawa Atsushi
Publication year - 1996
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19961110)19:16<1303::aid-mma831>3.0.co;2-a
Subject(s) - mathematics , domain (mathematical analysis) , mathematical analysis , boundary value problem , property (philosophy) , boundary (topology) , variable (mathematics) , weak solution , pure mathematics , calculus (dental) , medicine , dentistry , philosophy , epistemology
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 semidiscretization in time variable combining with variational calculus, when the time sections of domain has non‐decreasing property.