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- Sony Computer Science LaboratoriesJP10 papers
- Xidian UniversityCN10 papers
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- Tokyo Institute of TechnologyJP7 papers
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- The University of TokyoJP5 papers
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- Advanced Institute of Materials ScienceJP2 papers
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10 papers · 1 filter
Effective nonlocal kernels on Reaction-diffusion networks
Shin-Ichiro Ei, Hiroshi Ishii, Shigeru Kondo +2
A new method to derive an essential integral kernel from any given reaction-diffusion network is proposed. Any network describing metabolites or signals with arbitrary many factors…
Nonexistence of global solutions of wave equations with weak time-dependent damping and combined nonlinearity
Ning-An Lai, Hiroyuki Takamura
In our previous two works, we studied the blow-up and lifespan estimates for damped wave equations with a power nonlinearity of the solution or its derivative, with scattering damp…
Blow-up for semilinear damped wave equations with sub-Strauss exponent in the scattering case
Ning-An Lai, Hiroyuki Takamura
It is well-known that the critical exponent for semilinear damped wave equations is Fujita exponent when the damping is effective. Lai, Takamura and Wakasa in 2017 have obtained a…
Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent
Ning-An Lai, Hiroyuki Takamura, Kyouhei Wakasa
The blow-up for semilinear wave equations with the scale invariant damping has been well-studied for sub-Fujita exponent. However, for super-Fujita exponent, there is only one blow…
Improved Kato's lemma on ordinary differential inequality and its application to semilinear wave equations
Hiroyuki Takamura
We are interested in the upper bound of the lifespan of solutions of semilinear wave equations from above. For the sub-critical case in high dimensions, it has been believed that t…
Blow-Up of Positive Solutions to Wave Equations in High Space Dimensions
Hiroyuki Takamura, Mohammad Rammaha, Hiroshi Uesaka +1
This paper is concerned with the Cauchy problem for the semilinear wave equation: $u_{tt}-Δu=F(u) \ \mbox{in} \ R^n\times[0, \infty)$, where the space dimension , $F(u)=|u…