@Article{JPDE-8-2,
author = {Zhou, Yi},
title = {Cauchy Problem for Semilinear Wave Equations in Four Space Dimensions with Small Initial Data},
journal = {Journal of Partial Differential Equations},
year = {1995},
volume = {8},
number = {2},
pages = {135--144},
abstract = { In this paper, we consider the Cauchy problem ◻u(t,x) = |u(t,x)|^p, (t,x) ∈ R^+ × R^4 t = 0 : u = φ(x), u_t = ψ(x), x ∈ R^4 where ◻ = ∂²_t - Σ^4_{i=1}∂²_x_i, is the wave operator, φ, ψ ∈ C^∞_0 (R^4). We prove that for p > 2 the problem has a global solution provided tile initial data is sufficiently small.},
issn = {2079-732X},
doi = {https://doi.org/1995-JPDE-5647},
url = {https://global-sci.com/article/88969/cauchy-problem-for-semilinear-wave-equations-in-four-space-dimensions-with-small-initial-data}
}