22 citations · 55 across the 25 of their papers we have counts for
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math.AP2010
On uniqueness and decay of solution for Hirota equation
Xavier Carvajal, Mahendra Panthee
We address the question of the uniqueness of solution to the initial value problem associated to the equation \partial_{t}u+iα\partial^{2}_{x}u+β \partial^{3}_{x}u+iγ|u|^{2}u+δ|u|^…
math.AP2010
On the ill-posedness result for the BBM equation
Mahendra Panthee
We prove that the initial value problem (IVP) for the BBM equation is ill-posed for data in , in the sense that the flow-map that associates to ini…
math.AP2010
On The Cauchy Problem for the elliptic Zakharov-Schulman system in dimensions 2 and 3
Filipe Oliveira, Mahendra Panthee, Jorge Drumond Silva
We prove that the Cauchy problem associated to the Zakharov-Schulman system , is locally well-posed for given initial data in Sobolev spaces $H^s(R^…