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20152023
most cited- estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data

32 citations · 178 across the 24 of their papers we have counts for

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math.AP2016★ 19 cited

Norm inflation for the generalized Boussinesq and Kawahara equations

Mamoru Okamoto

We consider ill-posedness of the Cauchy problem for the generalized Boussinesq and Kawahara equations. We prove norm inflation with general initial data, an improvement over the il…

math.AP2016★ 6 cited

Large time asymptotics of solutions to the short-pulse equation

Mamoru Okamoto

We consider the long-time behavior of solutions to the short-pulse equation. Using the method of testing by wave packets, we prove small data global existence and modified scatteri…