Isaiah 49:16

[BGRTHNUMEGO]

13 ¶ Sing, O heavens; and be joyful, O earth; and break forth into singing, O mountains: for the Lord hath comforted his people, and will have mercy upon his afflicted.
14 But Zion said, The Lord hath forsaken me, and my Lord hath forgotten me.
15 Can a woman forget her sucking child, that she should not have compassion on the son of her womb? yea, they may forget, yet will I not forget thee.
16 Behold, I have graven thee upon the palms of my hands; thy walls are continually before me.
17 Thy children shall make haste; thy destroyers and they that made thee waste shall go forth of thee.

Anyone care to expound on their interpretation of this passage, with particular attention to the bolded portion of v. 16? What should be understood other than a constant regard the Messiah has for His people, always remembering them even amidst their disasters or trials? Why the reference to what I'm assuming is the fallen walls of Jerusalem?

[Solon]

13 ¶ Sing, O heavens; and be joyful, O earth; and break forth into singing, O mountains: for the Lord hath comforted his people, and will have mercy upon his afflicted.
14 But Zion said, The Lord hath forsaken me, and my Lord hath forgotten me.
15 Can a woman forget her sucking child, that she should not have compassion on the son of her womb? yea, they may forget, yet will I not forget thee.
16 Behold, I have graven thee upon the palms of my hands; thy walls are continually before me.
17 Thy children shall make haste; thy destroyers and they that made thee waste shall go forth of thee.

Anyone care to expound on their interpretation of this passage, with particular attention to the bolded portion of v. 16? What should be understood other than a constant regard the Messiah has for His people, always remembering them even amidst their disasters or trials? Why the reference to what I'm assuming is the fallen walls of Jerusalem?

I think the two key problems for LDS understanding Isaiah are generally 1) context and 2) King James English. Both of them complicate things, but it's easy enough to find an updated translation to read.

Most modern scholars would put Isaiah 49 into the 2nd (Deutero-) Isaiah portion of the text, meaning it was probably written after the destruction of Jerusalem and while the Israelites are in captivity (Israel was in captivity for about 50 years, from about 586-538). The context, then, is God promising Israel that he hasn't forgotten about them. Although they are in exile in far-away Babylon, they eventually will return to Israel and re-build Jerusalem, because of Cyrus (45.1). The prisoners will be freed (49.9), they will come back to Jerusalem from far away, from many directions (49. 12), and will shout for joy that the Lord has taken pity on them and brought them comfort. Just like a woman can never forget her child, the Lord will never forget the children of Israel.

God sees the walls of Jerusalem always (i.e. he will never leave them again), and Israel is re-building them faster than they were destroyed (49.17; the KJV has butchered this verse).

The Revised English Bible trans. of 49.17: "Those who rebuild you make better speed than those who pulled you down, while those who laid you waste leave you and go."