叶耀军
Ye Yaojun
摘要：
The author considers the global existence and global nonexistence of the
initial-boundary value problem for some degenerate hyperbolic equation of the form
utt − div(|∇u|p−2∇u) = |u|mu, (x, t) ∈ [0,+∞) ×
with p > 2 and m > 0. He deals with the global solutions by D.H.Sattinger’s potential well
ideas. At the same time, when the initial energy is positive, but appropriately bounded,
the global nonexistence of solutions is verified by using the analysis method.
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