4 citations · 4 across the 9 of their papers we have counts for
5 papers · 1 filter
Lifespan estimate for one dimensional wave equation with semilinear terms of spatial derivative
Ning-An Lai, Cui Ren, Takiko Sasaki +1
This paper studies the upper and lower bounds of the lifespan for the classical solutions to the initial value problems of one dimensional wave equations with non-autonomous semili…
Regularity and singularity of the blow-up curve for a wave equation with a derivative nonlinearity and a scale-invariant damping
Ahmed Bchatnia, Makram Hamouda, Firas Kaabi +2
In this article, we investigate the blow-up behavior of solutions to the one-dimensional damped nonlinear wave equation, namely $$ \partial_t^2 u - \partial_x^2 u + \fracμ{1 + t} \…
Slicing method for nonlinear integral inequalities related to critical nonlinear wave equations
Takiko Sasaki, Kerun Shao, Hiroyuki Takamura
This paper is devoted to a simple and short proof on the sharp upper bound of lifespan of classical solutions to wave equations with the critical power nonlinearities of spatial de…
Note on the existence of classical solutions of derivative semilinear models for one dimensional wave equation
Yuki Haruyama, Takiko Sasaki, Hiroyuki Takamura
This note is a supplement with a new result to the review paper by Takamura [13] on nonlinear wave equations in one space dimension. We are focusing here to the long-time existence…
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…