4 papers
Global well-posedness for the nonlinear wave equation in analytic Gevrey spaces
Daniel Oliveira da Silva, Alejandro J. Castro
We obtain an asymptotic rate of decay for the radius of spatial analyticity of solutions to the nonlinear wave equation with initial data in the analytic Gevrey spaces.
Lower bounds on the radius of spatial analyticity for the KdV equation
Sigmund Selberg, Daniel Oliveira Da Silva
We present estimates for the radius of analyticity of solutions to the Korteweg-de Vries equation, which improve earlier results due to Bona, Grujić and Kalisch.
A Remark on Unconditional Uniqueness in the Chern-Simons-Higgs Model
Sigmund Selberg, Daniel Oliveira da Silva
The solution of the Chern-Simons-Higgs model in Lorenz gauge with data for the potential in and for the Higgs field in is shown to be unique in the…
Continuity of generalized wave maps on the sphere
Daniel da Silva
We consider a generalization of wave maps based on the Adkins-Nappi model of nuclear physics. In particular, we show that solutions to this equation remain continuous at the origin…