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20012023
most citedTest function method for blow-up phenomena of semilinear wave equations and their weakly coupled systems

65 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2018Show all

4 papers · 1 filter

math.AP2018

Finite time blowup of solutions to semilinear wave equation in an exterior domain

Motohiro Sobajima, Kyouhei Wakasa

We consider the initial-boundary value problem of semilinear wave equation with nonlinearity in exterior domain in . Especially, the lifespan of b…

math.AP2018★ 8 cited

The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension

Masakazu Kato, Hiroyuki Takamura, Kyouhei Wakasa

The critical constant of time-decaying damping in the scale-invariant case is recently conjectured. It also has been expected that the lifespan estimate is the same as for the asso…

hep-th2018★ 3 cited

Massive dual gauge field and confinement in Minkowski space : Magnetic charge

Hirohumi Sawayanagi

Gauge field configuration for a magnetic monopole and its dual configuration are studied in SU(2) gauge theory. We present a relation between the monopole field and its dual field.…

math.AP2018★ 65 cited

Test function method for blow-up phenomena of semilinear wave equations and their weakly coupled systems

Masahiro Ikeda, Motohiro Sobajima, Kyouhei Wakasa

In this paper we consider the wave equations with power type nonlinearities including time-derivatives of unknown functions and their weakly coupled systems. We propose a framework…