93 citations · 491 across the 27 of their papers we have counts for
27 papers
The lifespan of classical solutions of one dimensional wave equations with semilinear terms of the spatial derivative
Takiko Sasaki, Shu Takamatsu, Hiroyuki Takamura
This paper is devoted to the lifespan estimates of small classical solutions of the initial value problems for one dimensional wave equations with semilinear terms of the spatial d…
The generalized combined effect for one dimensional wave equations with semilinear terms including product type
Ryuki Kido, Takiko Sasaki, Shu Takamatsu +1
We are interested in the so-called "combined effect" of two different kinds of nonlinear terms for semilinear wave equations in one space dimension. Recently, the first result with…
The combined effect in one space dimension beyond the general theory for nonlinear wave equations
Katsuaki Morisawa, Takiko Sasaki, Hiroyuki Takamura
In this paper, we show the so-called "combined effect" of two different kinds of nonlinear terms for semilinear wave equations in one space dimension. Such a special phenomenon app…
The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights
Shunsuke Kitamura, Hiroyuki Takamura, Kyouhei Wakasa
In this paper, we study the lifespan estimates of classical solutions for semilinear wave equations with characteristic weights and compactly supported data in one space dimension.…
On a semilinear wave equation in anti-de Sitter spacetime: the critical case
Alessandro Palmieri, Hiroyuki Takamura
In the present paper we prove the blow-up in finite time for local solutions of a semilinear Cauchy problem associated with a wave equation in anti-de Sitter spacetime in the criti…
A note on blow-up results for semilinear wave equations in de Sitter and anti-de Sitter spacetimes
Alessandro Palmieri, Hiroyuki Takamura
In this work we derive some blow-up results for semilinear wave equations both in de Sitter and anti-de Sitter spacetimes. By requiring suitable conditions on a time-dependent fact…
A blow-up result for a Nakao-type weakly coupled system with nonlinearities of derivative-type
Alessandro Palmieri, Hiroyuki Takamura
In this paper, we consider a weakly coupled system of a wave and damped Klein-Gordon equation with nonlinearities of derivative type. We prove a blow-up result for the Cauchy probl…
Semilinear wave equations of derivative type with spatial weights in one space dimension
Shunsuke Kitamura, Katsuaki Morisawa, Hiroyuki Takamura
This paper is devoted to the initial value problems for semilinear wave equations of derivative type with spatial weights in one space dimension. The lifespan estimates of classica…
The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension
Shunsuke Kitamura, Katsuaki Morisawa, Hiroyuki Takamura
This paper studies initial value problems for semilinear wave equations with spatial weights in one space dimension. The lifespan estimates of classical solutions for compactly sup…
Heat-like and wave-like lifespan estimates for solutions of semilinear damped wave equations via a Kato's type lemma
Ning-An Lai, Nico Michele Schiavone, Hiroyuki Takamura
In this paper we study several semilinear damped wave equations with "subcritical" nonlinearities, focusing on demonstrating lifespan estimates for energy solutions. Our main conce…
The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions
Takuto Imai, Masakazu Kato, Hiroyuki Takamura +1
In this paper, we study the initial value problem for semilinear wave equations with the time-dependent and scale-invariant damping in two dimensions. Similarly to the one dimensio…
Short time blow-up by negative mass term for semilinear wave equations with small data and scattering damping
Ning-An Lai, Nico Michele Schiavone, Hiroyuki Takamura
In this paper we study blow-up and lifespan estimate for solutions to the Cauchy problem with small data for semilinear wave equations with scattering damping and negative mass ter…
Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms
Alessandro Palmieri, Hiroyuki Takamura
In this paper we consider the blow-up of solutions to a weakly coupled system of semilinear damped wave equations in the scattering case with nonlinearities of mixed type, namely,…
Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case
Alessandro Palmieri, Hiroyuki Takamura
In this paper we consider the blow-up for solutions to a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case. After introducing suit…
Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities
Alessandro Palmieri, Hiroyuki Takamura
In this work we study the blow-up of solutions of a weakly coupled system of damped semilinear wave equations in the scattering case with power nonlinearities. We apply an iteratio…
Wave-like blow-up for semilinear wave equations with scattering damping and negative mass term
Ning-An Lai, Nico Michele Schiavone, Hiroyuki Takamura
In this paper we establish blow-up results and lifespan estimates for semilinear wave equations with scattering damping and negative mass term for subcritical power, which is the s…
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…
Nonexistence of global solutions of nonlinear wave equations with weak time-dependent damping related to Glassey conjecture
Ning-An Lai, Hiroyuki Takamura
This work is devoted to the nonexistence of global-in-time energy solutions of nonlinear wave equation of derivative type with weak time-dependent damping in the scattering and sca…
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…
The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions
Takuto Imai, Masakazu Kato, Hiroyuki Takamura +1
This paper is devoted to a proof of the conjecture in Takamura(2015) on the lower bound of the lifespan of solutions to semilinear wave equations in two space dimensions. The resul…
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…
Global existence for semilinear wave equations with the critical blow-up term in high dimensions
Hiroyuki Takamura, Kyouhei Wakasa
We are interested in almost global existence cases in the general theory for nonlinear wave equations, which are caused by critical exponents of nonlinear terms. Such situations ca…