1 citations · 1 across the 5 of their papers we have counts for
5 papers
Quantitative evaluations of stability and convergence for solutions of semilinear Klein--Gordon equation
Takuya Tsuchiya, Makoto Nakamura
We perform some simulations of the semilinear Klein--Gordon equation with a power-law nonlinear term and propose each of the quantitative evaluation methods for the stability and c…
Nonexistence of global weak solutions of Klein-Gordon equations with gauge variant semilinear terms in Friedmann-Lemaître-Robertson-Walker spacetimes
Makoto Nakamura, Takuma Yoshizumi
Nonexistence of global weak solutions of Klein-Gordon equations with gauge variant semilinear terms are considered in Friedmann-Lemaître-Robertson-Walker spacetimes. Effects of spa…
Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes
Makoto Nakamura, Takuma Yoshizumi
Blowing-up solutions for semi-linear Klein-Gordon equations are considered in Friedmann-Lemaître-Robertson-Walker spacetimes. Some sufficient conditions are shown by applying the c…
Blowing-up solutions of Klein-Gordon equations with gauge variant semilinear terms in Friedmann-Lemaítre-Robertson-Walker spacetimes under finite speed of propagation
Makoto Nakamura, Takuma Yoshizumi
Blowing-up solutions of Klein-Gordon equations with gauge variant semilinear terms are considered in Friedmann-Lemaítre-Robertson-Walker spacetimes. Effects of spatial expansion or…
The Cauchy problem for semi-linear Klein-Gordon equations in Friedmann-Lemaître-Robertson-Walker spacetimes
Makoto Nakamura, Takuma Yoshizumi
The Cauchy problem for semi-linear Klein-Gordon equations is considered in Friedmann-Lemaître-Robertson-Walker spacetimes. The local and global well-posedness of the Cauchy problem…