Differential and Integral Equations
- Differential Integral Equations
- Volume 32, Number 3/4 (2019), 233-248.
Global existence for semilinear damped wave equations in the scattering case
We study the global existence of solutions to semilinear damped wave equations in the scattering case with power-type nonlinearity on the derivatives, posed on nontrapping asymptotically Euclidean manifolds. The main idea is to shift initial time by local existence. As a result, we could convert the damping term to small enough perturbation and obtain the global existence.
Differential Integral Equations, Volume 32, Number 3/4 (2019), 233-248.
First available in Project Euclid: 23 January 2019
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Bai, Yige; Liu, Mengyun. Global existence for semilinear damped wave equations in the scattering case. Differential Integral Equations 32 (2019), no. 3/4, 233--248. https://projecteuclid.org/euclid.die/1548212431