Preheat the oven to 350 degrees F.
In a mixing bowl, combine the Parmesan, bread crumbs, and butter, blend thoroughly. Press the mixture into the bottom of a 9-inch springform pan.
In a large saute pan, heat the olive oil. When the oil is hot, add the onions, and the peppers. Season with salt and pepper. Saute for 2 minutes, remove from the heat.
Using an electric mixer, beat the cream cheese until smooth. With the machine running, add the eggs, one at a time, until incorporated. Beat in the cream, Gouda, and Sauteed vegetables until fully incorporated, about 2 minutes. Fold in the lobster meat and the parsley. Pour the filling into the prepared crust and bake until firm, about 1 hour.
Remove from the oven and allow to cool to room temperature. If you refrigerate the cake before serving, allow to come to room temperature before serving.
To serve, cut the cake into wedges with a warm knife. Serve each wedge with the creme fraiche, traditional garnishes, and caviar.