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math.AP2017★ 3 cited
On one-dimension semi-linear wave equations with null conditions
Garving K. Luli, Shiwu Yang, Pin Yu
It is well-known that in dimensions at least three semilinear wave equations with null conditions admit global solutions for small initial data. It is also known that in dimension…
math.AP2015★ 2 cited
On the generalized Buckley-Leverett equation
Jan Burczak, Rafael Granero-Belinchón, Garving K. Luli
In this paper we study the generalized Buckley-Leverett equation with nonlocal regularizing terms. One of these regularizing terms is diffusive, while the other one is conservative…