Variant 1: Both AMD and Intel will continue to rely on OS patches.
Variant 2: Both AMD and Intel will fix in silicon. Intel's fix comes in Cascade Lake.
Variant 3 (aka Meltdown): AMD was not affected, Intel will fix it in silicon in Coffee Lake Refresh and Cascade Lake.
Variant 4: Both AMD and Intel will rely on OS and Microcode patches
L1TF: AMD was not affected, Intel will fix in silicon in Coffee Lake Refresh and Cascade Lake.
I'll note that for the AMD products, this is my best guess from Lisa Su's comments. I do wish they put out a table like Intel did.
[1]: https://www.anandtech.com/show/13450/intels-new-core-and-xeo...
[2]: https://wccftech.com/amd-zen-2-cpus-fix-spectre-exploit/
EDIT: Replaced the Intel source with a better link
https://www.phoronix.com/scan.php?page=article&item=linux-42...