In a large shallow dish, combine the flour, salt and pepper. Add pork chops and turn to coat. In a large ovenproof skillet, cook chops in butter over medium heat until a thermometer reads 145°, 4-5 minutes on each side. Remove and keep warm.
Meanwhile, in the same skillet, bring the vinegar to a boil. Reduce heat; add maple syrup. Cover and cook for 10 minutes. Combine cornstarch and water until smooth; gradually add to maple mixture. Bring to a boil; cook and stir until thickened, about 2 minutes.
Place chops on a broiler pan; sprinkle with brown sugar. Broil 4 in. from the heat until sugar is melted, 1-2 minutes. Drizzle with maple glaze.