Local Well-Posedness of a Two-Component Novikov System in Critical Besov Spaces
in the sense of Hadamard in critical Besov spaces B1+ 1 1p p,1(R)× B1+ p p,1 (R), 1 ≤ p < ∞. We first provide a uniform bound for the approximate solutions constructed by iterative scheme, then we show the convergence and regularity; afterwards, based on the Lagrangian coordinate transformation t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI
2022
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| Subjects: | |
| Online Access: | View Fulltext in Publisher |
| Summary: | in the sense of Hadamard in critical Besov spaces B1+ 1 1p p,1(R)× B1+ p p,1 (R), 1 ≤ p < ∞. We first provide a uniform bound for the approximate solutions constructed by iterative scheme, then we show the convergence and regularity; afterwards, based on the Lagrangian coordinate transformation techniques, we prove the uniqueness result; finally, we show that the the solution map is continuous. © 2022 by the authors. Licensee MDPI, Basel, Switzerland. |
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| ISBN: | 22277390 (ISSN) |
| DOI: | 10.3390/math10071126 |