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On a Globally Existing Solution to the Inviscid Burgers Equation with a Nonlocal Term

✍ Scribed by Ito, Kazuo


Book ID
118200110
Publisher
Society for Industrial and Applied Mathematics
Year
1994
Tongue
English
Weight
683 KB
Volume
25
Category
Article
ISSN
0036-1410

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We obtain the global existence and uniqueness for a generalized Burger's equation with viscosity and the initial value being in L °° by successive method. Moreover, under certain condition on the initial value the solution tends to the solution of a linear heat equation in H 1.