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math.AP2022
Critical exponent for nonlinear wave equations with damping and potential terms
Masakazu Kato, Hideo Kubo
The aim of this paper is to determine the critical exponent for the nonlinear wave equations with damping and potential terms of the scale invariant order, by assuming that these t…
math.AP2022
Global solvabilty for nonlinear wave equations with singular potential
Vladimir Georgiev, Hideo Kubo
In this work we study the global existence for 3d semilinear wave equation with non-negative potential satisfying generic decay assumptions. In the supercritical case we establish…