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Existence and uniqueness of solutions for a non-uniformly parabolic equation |
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| Authors: | Jinghua Wang |
| Affiliation: | a Institute of System Sciences, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, People's Republic of China b Institute of Analysis and Numerics, Otto-von-Guericke-University of Magdeburg, PSF 4120, Universitatsplatz 2, D-39016 Magdeburg, Germany |
| 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  . |
| Keywords: | 35K55 35B65 |
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