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Propagation of Regularity within Solutions to Korteweg-de Vries Type Equations
- Smith, Derek Lee
- Advisor(s): Ponce, Gustavo
Abstract
For many dispersive equations, decay of the initial data leads to increased regularity of the solution for positive times. The unidirectional dispersion of the k-generalized Korteweg-de Vries equation produces a propagation of regularity phenomena. We show that similar results hold for fifth and higher order KdV equations, as well as for quasilinear KdV type equations.
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