At first glance, some scriptures seem to answer "utterly destroyed": Luke 21:33, 2 Peter 3:10, Revelation 21:1. In contrast, there are passages that speak of the earth remaining forever: Ecclesiastes 1:4, Psalm 78:69. However, the same Hebrew word translated "forever" in these passages is used elsewhere in ways that don't mean forever(Deuteronomy 15:17). It is clear that the earth as it is now will not remain forever--but what does that really mean?
Scripture says that the fire of God's judgement will destroy "wood, hay or straw," yet it will purify "gold, silver, and costly stones," which will all survive the fire and be carried over into the new universe(1 Corinthians 14:13). Similarly, the apostle John notes that when believers die, what they have done on Earth to Christ's glory "will follow them" into Heaven(Revelation 14:13). These are earthly things that will outlast the present Earth.
There is no reason to doubt that they will be transfigured and transformed by their liberation of the curse, but they will be in essential continuity with our experience now--just as our resurrected bodies, though glorified, will still be bodies.
Romans 8:19-23 inseparably links the destinies of mankind and Earth. As such, the earth will be raised to new life in the same way our bodies will be raised to new life.
When Christ returns, God's agenda is not t destroy everything and start over, but to "restore everything."(Acts 3:21)
The earth's death will be no more final than our own. The destruction of the old Earth in God's purifying judgement will immediately be followed by its resurrection to new life. Earth's fiery "end" will open straight into a glorious new beginning.