Preprint 2001-023

Existence and Uniqueness of Solutions for a Non-uniformly Parabolic Equation

J. Wang and G. Warnecke

Abstract: In this paper we study a generalized Burgers equation ut+(u2)x=tuxx, which is a non-uniformly parabolic equation for t>0. We show the existence and uniqueness of classical solutions to the initial value problem of the generalized Burgers equation with rough initial data belonging to L\infty(R).

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J. Wang, <>
G. Warnecke, <>
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<> July 10 2001.

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