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Abstract The initial value problem for a system of modified Korteweg-deVries equations with data that are analytic on R and having uniform radius of analyticity r 0 is studied. After… Click to show full abstract
Abstract The initial value problem for a system of modified Korteweg-deVries equations with data that are analytic on R and having uniform radius of analyticity r 0 is studied. After proving an analytic version of known trilinear estimates in Sobolev spaces, local well-posedness is established and persistence of the radius of spatial analyticity is shown till some time T 0 . Then, for time t ≥ T 0 it is proved that the radius of spatial analyticity is bounded from below by c t − ( 2 + e ) , for any e > 0 .
Keywords:
radius analyticity;
bounds radius;
analyticity;
lower bounds;
system modified
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
Link to full text (if available)
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recommendations!