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On a semilinear wave equation: The Cauchy problem and the asymptotic behavior of solutions

✍ Scribed by Gustavo Perla Menzala

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
443 KB
Volume
93
Category
Article
ISSN
0022-247X

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## Abstract Let __D__ βŠ‚ ℝ^__n__^ be a bounded domain with piecewise‐smooth boundary, and __q__(__x__,__t__) a smooth function on __D__ Γ— [0, __T__]. Consider the time‐like Cauchy problem magnified image magnified image Given __g__, __h__ for which the equation has a solution, we show how to approxi