The generalized Korteweg-de Vries equation has the property that solutions with initial data that are analytic in a strip in the complex plane continue to be analytic in a strip as time progresses. Established here are algebraic lower bounds on the possible rate of decrease in time of the uniform radius of spatial analyticity for these equations. Previously known results featured exponentially decreasing bounds
Abstract. We study numerically the small dispersion limit for the Korteweg-de Vries (KdV) equation u...
AbstractThe radius of analyticity of periodic analytic functions can be characterized by the decay o...
In this paper, we study the problem of analyticity of smooth solutions of the inviscid Boussinesq eq...
AbstractLower bounds on the rate of decrease in time of a uniform radius of spatial analyticity for ...
AbstractThe strong effect of dispersion on short-wavelength disturbances featured by the Korteweg-de...
Persistence of spatial analyticity is studied for solution of the beam equation utt + (m + Δ2) u + ...
AbstractIn the periodic case, it is proved that the Cauchy problem for the generalized Korteweg–de V...
AbstractWe study the asymptotic behavior for large time of solutions to the Cauchy problem for the g...
We show that the uniform radius of spatial analyticity $\sigma(t)$ of solutions at time $t$ to the f...
We consider the initial value problem for the reduced fifth-order KdV-type equation: −5−10(3)+10()2=...
For many dispersive equations, decay of the initial data leads to increased regularity of the soluti...
We study the problem of propagation of analytic regularity for semi-linear symmetric hyperbolic syst...
Abstract. We study spatial analyticity properties of solutions of the Navier-Stokes equation and obt...
We consider the generalized Korteweg-de Vries equation, which contains nonlinear dispersive effects....
AbstractIn this paper, we consider an initial–boundary value problem for the Korteweg–de Vries equat...
Abstract. We study numerically the small dispersion limit for the Korteweg-de Vries (KdV) equation u...
AbstractThe radius of analyticity of periodic analytic functions can be characterized by the decay o...
In this paper, we study the problem of analyticity of smooth solutions of the inviscid Boussinesq eq...
AbstractLower bounds on the rate of decrease in time of a uniform radius of spatial analyticity for ...
AbstractThe strong effect of dispersion on short-wavelength disturbances featured by the Korteweg-de...
Persistence of spatial analyticity is studied for solution of the beam equation utt + (m + Δ2) u + ...
AbstractIn the periodic case, it is proved that the Cauchy problem for the generalized Korteweg–de V...
AbstractWe study the asymptotic behavior for large time of solutions to the Cauchy problem for the g...
We show that the uniform radius of spatial analyticity $\sigma(t)$ of solutions at time $t$ to the f...
We consider the initial value problem for the reduced fifth-order KdV-type equation: −5−10(3)+10()2=...
For many dispersive equations, decay of the initial data leads to increased regularity of the soluti...
We study the problem of propagation of analytic regularity for semi-linear symmetric hyperbolic syst...
Abstract. We study spatial analyticity properties of solutions of the Navier-Stokes equation and obt...
We consider the generalized Korteweg-de Vries equation, which contains nonlinear dispersive effects....
AbstractIn this paper, we consider an initial–boundary value problem for the Korteweg–de Vries equat...
Abstract. We study numerically the small dispersion limit for the Korteweg-de Vries (KdV) equation u...
AbstractThe radius of analyticity of periodic analytic functions can be characterized by the decay o...
In this paper, we study the problem of analyticity of smooth solutions of the inviscid Boussinesq eq...