### 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).

Paper:
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Author(s):
J. Wang, <jwang@iss06.iss.ac.cn>
G. Warnecke, <gerald.warnecke@mathematik.uni-magdeburg.de>
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