most citedParabolic smoothing effect and local well-posedness of fifth order semilinear dispersive equations on the torus

6 citations · 6 across the 1 of their papers we have counts for

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2 papers

math.AP2020

Well-posedness and parabolic smoothing effect for higher order Schrödinger type equations with constant coefficients

Tomoyuki Tanaka, Kotaro Tsugawa

We consider the Cauchy problem of a class of higher order Schrödinger type equations with constant coefficients. By employing the energy inequality, we show the well-posednes…

math.AP2017★ 6 cited

Parabolic smoothing effect and local well-posedness of fifth order semilinear dispersive equations on the torus

Kotaro Tsugawa

We consider the Cauchy problem of fifth order dispersive equations on the torus. We assume that the initial data is sufficiently smooth and the nonlinear term is a polynomial depen…