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4 papers
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…