Dept. Math, Hokkaido Univ. EPrints Server

On visicous conservation laws with growing initial data

Preprint Series # 616
Yamada, Kazuyuki On visicous conservation laws with growing initial data. (25 November 2003);

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Abstract

A unique local solvability is established for viscous conservation laws when the initial data may grow at the space infinity with a natural order. It is also show that such a classical solution can be extended to a global-in-time solution proved that the growth order of the initial data is less than critical order.

Item Type:Preprint
Uncontrolled Keywords:MSC2000: 35K15, 35K55
Subjects:35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:9