2 citations · 5 across the 3 of their papers we have counts for
3 papers
math.AP2005★ 2 cited
Weighted Decay Estimates for the Wave Equation with Radially Symmetric Data
Paschalis Karageorgis
We study the homogeneous wave equation with radially symmetric data in four or higher space dimensions. Using some new integral representations for the Riemann operator, we establi…
math.AP2005★ 2 cited
Small-data scattering for nonlinear waves with potential and initial data of critical decay
Paschalis Karageorgis
We study the scattering problem for the nonlinear wave equation with potential. In the absence of the potential, one has sharp existence results for the Cauchy problem with small i…
math.AP2005★ 1 cited
Existence and blow up of small-amplitude nonlinear waves with a sign-changing potential
Paschalis Karageorgis
We study the nonlinear wave equation with a sign-changing potential in any space dimension. If the potential is small and rapidly decaying, then the existence of small-amplitude so…