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Life Span of Solutions of the Cauchy Problem for a Semilinear Heat Equation

✍ Scribed by C.F. Gui; X.F. Wang

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
181 KB
Volume
115
Category
Article
ISSN
0022-0396

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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