There isn't a place called Lake Cavern, unless you meant the caverns in Lake Acuity, Lake Valor, and Lake Verity. Every lake has the cavern in the center of the lake and will have the trio inside in each when they have been released.
you can catch lake Pokemon after you free them in the team galatic veilstone HQ building in the 3 lakes of sinnoh at (snowpoint city uixie in lake acuicty cavern around pastoria city in lake valor cazern for azelf and mesprit is around twinlesf town in the lake verity cavern)
it's in lake verity
No
You catch Garatina, Dialga,Palkiia,and all the lake Pokemon but mainly Garatina
It is a level 100 magikarp.
In the lake valor cavern
you have to go to lake verity cavern and catch it.
First you have to get Giratina in the disortion world then you go to lake valor and you use surf and then you see the cavern.
Pokemon #146 is Uxie, and can be found in the Acuity Cavern in the middle of Lake Acuity. In Platinum, I believe you can have another chance to catch it if you don't catch it the first time.
you can catch lake Pokemon after you free them in the team galatic veilstone HQ building in the 3 lakes of sinnoh at (snowpoint city uixie in lake acuicty cavern around pastoria city in lake valor cazern for azelf and mesprit is around twinlesf town in the lake verity cavern)
you need to surf to the cavern
lake acuity
You don't
Pokémon Diamond, Pearl, and PlatinumThe lake guardians each live in the cavern at the center of one of Sinnoh's three commonly known lakes: Uxie resides in Acuity Cavern of Lake Acuity, Mesprit resides in Verity Cavern of Lake Verity, and Azelf resides Valor Cavern of Lake Valor. A secret fourth lake exists, but instead houses Turnback Cave, which contains a portal to the Distortion World and is thus often visited by Giratina.
you go to lake valor with a water type Pokemon and use surf go into the cavern in the middle of the lake he will be in there
at lake valor. It's the lake directly below Veilstone. It's probably the easiest way if you don't mind meating some pokemon. Azelf will be in the cavern in the center of the lake. you'll need surf obviously. Azelf will be waiting for you in the center of the cavern.
fire-type pokemon.