arXiv:1508.06116v1 [math.AP] 25 Aug 2015 Page 1 arXiv:1508.06116v1 [math.AP] 25 Aug
2015 LOWER BOUNDS ON THE RADIUS OF SPATIAL ANALYTICITY FOR THE KDV …

Persistence of spatial analyticity is studied for periodic solutions of the dispersion-
generalized KdV equation ut−| D x| α u x+ uux= 0 for α≥ 2. For a class of analytic initial data …

On the Radius of Spatial Analyticity for the Quartic Generalized KdV Equation Page 1 Ann.
Henri Poincaré 18 (2017), 3553–3564 c 2017 Springer International Publishing AG 1424-0637/17/113553-12 …

The radius of spatial analyticity for solutions of the KdV equation is studied. It is shown that
the analyticity radius does not decay faster than t− 1/4 as time t goes to infinity. This …

We study the long time behavior of the analytic radius for the solution of the KdV equation
with an analytic initial data on the real line. The best result in the references shows that the …

We study the global analyticity for the dissipative KdV equation with an analytic initial data
on the real line. We show that the analytic radius of the solution has a fixed positive lower …

We consider the initial value problem (IVP) for the generalized Korteweg–de Vries (gKdV)
equation∂ t u+∂ x 3 u+ μ uk∂ xu= 0, x∈ R, t∈ R, u (x, 0)= u 0 (x), where u (x, t) is a real …

Analyticity of the global attractor for damped forced periodic Korteweg–de Vries equation -
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In this paper, we consider the Cauchy problem for the higher order nonlinear dispersive
equation with the initial data in Gevrey space Gσ, s. First, using Tao's [k, Z]− multiplier …

Global well-posedness for the nonlinear wave equation in analytic Gevrey spaces -
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