arXiv subjects

Kazumasa Fujiwara

Publications and source records attributed to Kazumasa Fujiwara.

21 records · Page 2Linked to original sources

arXiv2016

Estimates of lifespan and blow-up rates for the wave equation with a time-dependent damping and a power-type nonlinearity

We study blow-up behavior of solutions for the Cauchy problem of the semilinear wave equation with time-dependent damping. When the damping is effective, and the nonlinearity is subcritical, we show the blow-up rates and the sharp lifespan estimates of solutions. Upper estimates are proved by an ODE argument, and lower estimates are given by a method of scaling variables.

math.AP↗

arXiv2016

Higher order fractional Leibniz rule

The fractional Leibniz rule is generalized by the Coifman-Meyer estimate. It is shown that the arbitrary redistribution of fractional derivatives for higher order with the corresponding correction terms.

math.AP↗

arXiv2014

The derivation of conservation laws for nonlinear Schroedinger equations with a power type nonlinearity

For nonlinear Schroedinger equations with a power nonlinearity, a new approach to derive the conservation law of the momentum and the pseudo conformal conservation law is obtained. Since this approach does not contain approximating procedure, the argument is simplified to derive these conservation laws.

math.AP↗