Abstract
In this paper, we consider the Cauchy problem for one-dimensional damped wave equations with variable coefficients $a(x)$ having power type nonlinearity of order $p$. We discuss the global existence of solutions for small initial data and investigate the relation between the range of $a(x)$ and the order $p$.
Citation
Yuta Tamada. "Global existence for one-dimensional hyperbolic equation with power type nonlinearity." Differential Integral Equations 34 (11/12) 675 - 690, November/December 2021. https://doi.org/10.57262/die034-1112-675
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