share in some portion of its development and production costs.
Sehumer alleged that Hughes used these commonality agreements to mis-bid, misallocate, and mischarge costs among the four contracts. For example, Sehumer alleged that Hughes charged the development of a radar signal processor to the F15 contract but then also charged these developments costs to the F14, F18, and B2 contracts.
Lujan’s allegations also concern the contract to develop the B2 radar system. Lujan alleges that, between 1982 and at least 1989, Hughes routinely mischarged costs associated with the design and development of various B2 radar system contracts. She also alleges that Hughes mischarged costs on contracts involving ■e F14, F15, and F18 by means of the imonality agreements governing cost •ations among the various radar sys-u programs.
,ie Sehumer and Lujan allegations both involve cost-sharing transactions among and within the radar system programs on four aircraft. The two claims involve the same commonality agreements and the same radar program contracts.
Lujan II, 162 F.3d at 1032-33. We then found that Lujan was an original source because she brought her allegations to the government before Schumer’s allegations were publicly disclosed. Therefore, we reversed the district court’s dismissal of Lu-jan’s post-1986 claims, holding that the district court had subject matter jurisdiction under § 3730(e)(4)(A)’s “original source” exception.
On remand, Hughes moved to dismiss Lujan’s qui tam action under the 31 U.S.C. § 3730(b)(5) first-to-file jurisdictional bar. The district court determined that Lujan II had not decided the § 3730(b)(5) issue, and then found that § 3730(b)(5) applied because Sehumer was pending when Lujan filed her action. The district court reviewed (1) the prior district court findings that the allegations were substantially similar and “based upon” those publicly disclosed in Schumer’s lawsuit and (2) our Lujan II upholding of that finding. The district court found that Lujan’s claims were “based on” the same essential facts and raised the same issues as Schumer’s claims, regardless of whether the two claims incorporated somewhat different details, and held that § 3730(b)(5) barred Lujan’s case. Lujan appealed, contending that the district court improperly considered, interpreted, and applied § 3730(b)(5).
II. Jurisdiction and Standard of Review
We have jurisdiction under 28 U.S.C. § 1291. We review de novo a district court’s legal determinations. See United States v. Marbella, 73 F.3d 1508, 1515 (9th Cir.1996). Dismissal for lack of subject matter jurisdiction is reviewed de novo, and the district court’s relevant findings of fact are reviewed for clear error. See United States ex rel. Aflatooni v. Kitsap Physicians Servs., 163 F.3d 516, 520-21 (9th Cir.1999).
III. Analysis
We first determine whether the district court had the power to decide the § 3730(b)(5) jurisdictional challenge. Finding that the district court properly considered the issue, we then determine (1) the proper interpretation of § 3730(b)(5) and (2) if the district court properly applied § 3730(b)(5).
A. Law of the Case
Lujan contends that the law of the case doctrine precluded the district court’s consideration of Hughes’ § 3730(b)(5) jurisdictional challenge. We reject this contention.
The law of the case doctrine requires a district court to follow the appellate court’s resolution of an issue of law in all subsequent proceedings in the same case. See United States v. Cote, 51 F.3d 178, 181 (9th Cir.1995). The doctrine does not apply to issues not addressed by the appellate court. See id. (quoting Luckey v. Miller, 929 F.2d 618, 621 (11th Cir.1991)). The doctrine applies to the appel