@Article{JPDE-8-341,
author = {},
title = {*L*^{p}-*L*^{q} Estimates for a Linear Perturbed Klein-Gordon Equation},
journal = {Journal of Partial Differential Equations},
year = {1995},
volume = {8},
number = {4},
pages = {341--350},
abstract = { We consider L^p-L^q estimates for the solution u(t,x) to tbe following perturbed Klein-Gordon equation ∂_{tt}u - Δu + u + V(x)u = 0 \qquad x∈ R^n, n ≥ 3 u(x,0) = 0, ∂_tu(x,0) = f(x) We assume that the potential V(x) and the initial data f(x) are compact, and V(x) is sufficiently small, then the solution u(t,x) of the above problem satisfies ||u(t)||_q ≤ Ct^{-a}||f||_p for t > 1 where a is the piecewise-linear function of 1/p and 1/q.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5666.html}
}