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Abstract The Cauchy problem for the “good” Boussinesq equation with data in analytic Gevrey spaces on the line and the circle is considered and its local well-posedness in these spaces… Click to show full abstract
Abstract The Cauchy problem for the “good” Boussinesq equation with data in analytic Gevrey spaces on the line and the circle is considered and its local well-posedness in these spaces is proved. The proof is based on bilinear estimates in Bourgain type spaces incorporating the symbol of the linear part of the equation and an exponential weight expressing the analytic Gevrey regularity of the solution in the spatial variable. Also, Gevrey regularity of the solution in time variable is provided.
Keywords:
analytic gevrey;
boussinesq equation;
regularity;
equation;
good boussinesq
Journal Title: Journal of Differential Equations
Year Published: 2019
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!