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Description of solutions to the initial-boundary-value problem for a wave equation on a one-dimensional spatial network in terms of the green function of the corresponding boundary-value problem for an ordinary differential equation

✍ Scribed by V. L. Pryadiev

Publisher
Springer US
Year
2007
Tongue
English
Weight
215 KB
Volume
147
Category
Article
ISSN
1573-8795

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## Abstract The initial‐boundary value problem in a semi‐infinite strip (0, ∞)Γ—(0, __T__) for a degenerate parabolic equation of the form __u__, ~t~= Ο†(__u__)~__xx__~ + __b__(__x__)Ο†(__u__)~__x__~ is considered. The properties of solutions in the case where the initial function is compactly support