| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 844338 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 13 Pages |
Abstract
Existence and uniqueness results for initial value problem with a given growth condition (upper bound) on the initial datum for the so-called generalized deterministic KPZ (Kardar–Parisi–Zhang) equation ut=uxx+λ|ux|qut=uxx+λ|ux|q are obtained. Self-similar blow-up solutions are investigated also.
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Authors
Alexander Gladkov, Mohammed Guedda, Robert Kersner,