Tae Gab Ha
Abstract:
In this study, we consider a wave equation with variable coefficients, boundary damping, and
supercritical source terms. This study aims to study the local and global existence and classify
the decay rate of energy depending on the growth near zero in the damping term.
Furthermore, we demonstrate that the weak solution blows up in finite time with positive and
nonpositive initial energies.
Submitted June 5, 2025. Published November 4, 2025
Math Subject Classifications: 35L05, 35L20, 35A01, 35B40, 35B44.
Key Words: Wave equation with variable coefficients; supercritical source; blow-up; existence of solutions; energy decay rates.
DOI: 10.58997/ejde.2025.104
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| Tae Gab Ha Department of Mathematics and Institute of Pure and Applied Mathematics Jeonbuk National University Jeonju 54896, Korea email: tgha@jbnu.ac.kr |
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