2 papers
math.AP2026
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…
math.AP2025
Long-Time Existence of Quasilinear Wave Equations Exterior to Star-shaped Obstacle in
Lai Ning-An, Ren Cui, Xu Wei
In this paper, we study the long-time existence result for small data solutions of quasilinear wave equations exterior to star-shaped regions in two space dimensions. The key novel…