On subextremal Kerr backgrounds, solutions of the scalar wave equation arising from sufficiently regular localized data are uniformly bounded and extend continuously to the Cauchy horizon.
Therefore, we are interested in the error term EV (Yψ ) = 2g(Yψ )V (Yψ ), (E1) resulting from commutation with the vector field Y as defined in (94), according to (17)
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Boundedness of massless scalar waves on Kerr interior backgrounds
On subextremal Kerr backgrounds, solutions of the scalar wave equation arising from sufficiently regular localized data are uniformly bounded and extend continuously to the Cauchy horizon.