In any case, there is no evidence of a general persecution of Christians under Domitian.
That is manifestly untrue, as can be seen by the very large number of times Domitian's cruelty and persecutions against the church were mentioned by early Christian writers.
When Trajan, not long since, succeeded to the empire of the Romans, Ignatius, the disciple of John the apostle, a man in all respects of an apostolic character, governed the Church of the Antiochians with great care,
having with difficulty escaped the former storms of the many persecutions under Domitian, inasmuch as, like a good pilot, by the helm of prayer and fasting, by the earnestness of his teaching, and by his [constant ] spiritual labour, he resisted the flood that rolled against him, fearing [only] lest he should lose any of those who were deficient in courage, or apt to suffer from their simplicity.(The Martyrdom of Ignatius, author unknown, chapter 1. From Ante-Nicean Fathers, ed. Alexander Roberts, D.D. and James Donaldson, D.D., Edinburgh, 1884, in the American edition ed. By Cleveland Coxe, D.D, vol 1.)
And when Vespasian was dead, his son
Domitian, having got possession of the kingdom, along with his other wrongful acts, set himself also to make a persecution against the righteous men. For, having learned that the city was filled with Jews, remembering the orders given by his father about them, he purposed casting them all out of the city of the Romans. And some of the Jews took courage, and gave Domitian a book, in which was written as follows:
O Domitian, Cæsar and king of all the world, as many of us as are Jews entreat thee, as suppliants we beseech of thy power not to banish us from thy divine and benignant countenance; for we are obedient to thee, and the customs, and laws, and practices, and policy, doing wrong in nothing, but being of the same mind with the Romans. But there is a new and strange nation, neither agreeing with other nations nor consenting to the religious observances of the Jews, uncircumcised, inhuman, lawless, subverting whole houses, proclaiming a man as God, all assembling together under a strange name, that of Christian. These men reject God, paying no heed to the law given by Him, and proclaim to be the Son of God a man born of ourselves, Jesus by name, whose parents and brothers and all his family have been connected with the Hebrews; whom on account of his great blasphemy and his wicked fooleries we gave up to the cross. And they add another blasphemous lie to their first one: him that was nailed up and buried, they glorify as having risen from the dead; and, more than this, they falsely assert that he has been taken up by clouds into the heavens.
At all this the king, being affected with rage, ordered the senate to publish a decree that they should put to death all who confessed themselves to be Christians. Those, then, who were found in the time of his rage, and who reaped the fruit of patience, and were crowned in the triumphant contest against the works of the devil, received the repose of incorruption. (Acts of the Holy Apostle and Evangelist John, author unknown, translated by Alexander Walker, Esq. From Ante-Nicean Fathers, ed. Alexander Roberts, D.D. and James Donaldson, D.D., Edinburgh, 1884, , in the American edition ed. By Cleveland Coxe, D.D, vol. 8.)
For any one who knows him, can understand that not except as being of singular excellence did anything bring on it Neros condemnation.
Domitian, too, a man of Neros type in cruelty, tried his hand at persecution; but as he had something of the human in him, he soon put an end to what he had begun, even restoring again those whom he had banished. (The Apology, of Tertullian,tran. by the Rev. S. Thelwall, chapter 5. From Ante-Nicean Fathers, ed. Alexander Roberts, D.D. and James Donaldson, D.D., Edinburgh, 1884, in the American edition ed. By Cleveland Coxe, D.D, vol 3.)
Nero and Domitian alone of all the emperors, imposed upon by certain calumniators, have cared to bring any impeachment against our doctrines. (Apology Addressed to Marcus Aurelius Antoninus, by Melito, the Philosopher, part II. From Ante-Nicean Fathers, ed. Alexander Roberts, D.D. and James Donaldson, D.D., Edinburgh, 1884, , in the American edition ed. By Cleveland Coxe, D.D, vol. 8.)
He who gave power to Marius gave it also to Caius Cæsar; He who gave it to Augustus gave it also to Nero; He also who gave it to the most benignant emperors, the Vespasians, father and son, gave it also to
the cruel Domitian; and, finally, to avoid the necessity of going over them all, He who gave it to the Christian Constantine gave it also to the apostate Julian, whose gifted mind was deceived by a sacrilegious and detestable curiosity, stimulated by the love of power. (The City of God, by Augustin, tran. By Marcus Dodss, D.D., book 5, chapter 21. From Nicene and Post Nicene Fathers, First series, ed. by Philip Schaff, D.D., LL.D., vol.2.)
Domitian, having shown great cruelty toward many, and having unjustly put to death no small number of well-born and notable men at Rome, and having without cause exiled and confiscated the property of a great many other illustrious men, finally became a successor of Nero in his hatred and enmity toward God. He was in fact the second that stirred up a persecution against us, although his father Vespasian had undertaken nothing prejudicial to us. (Church History, by Eusebius, book 3, chapter 17. From Nicene and Post-Nicene Fathers, Second Series, ed. by Philip Schaff, D.D., LL.D. and Henry Wace, D.D., vol. 1.)
To such a degree, indeed, did the teaching of our faith flourish at that time that
even those writers who were far from our religion did not hesitate to mention in their histories the persecution and the martyrdoms which took place during it.
And they, indeed, accurately indicated the time. For they recorded that in the fifteenth year of Domitian Flavia Domitilla, daughter of a sister of Flavius Clement, who at that time was one of the consuls of Rome, was exiled with many others to the island of Pontia in consequence of testimony borne to Christ. (Against Heresies, by Irenaeus, Book 5, Chapter 30, paragraphs 4 and 5. From Ante-Nicean Fathers, ed. Alexander Roberts, D.D. and James Donaldson, D.D., Edinburgh, 1884, in the American edition ed. By Cleveland Coxe, D.D, vol 1.)