feat(geodesic): LinearODE — global existence for linear ODEs - #111
Closed
Xinze-Li-Moqian wants to merge 1 commit into
Closed
feat(geodesic): LinearODE — global existence for linear ODEs#111Xinze-Li-Moqian wants to merge 1 commit into
Xinze-Li-Moqian wants to merge 1 commit into
Conversation
Second brick of the Hopf–Rinow adoption from feat/hopf-rinow: a self-contained, Mathlib-only leaf. Mathlib's Picard–Lindelöf gives only local existence; for a linear ODE V'(t) = A(t)V(t) with continuous bounded coefficient the solution exists on any compact interval. Builds against main + the pinned Mathlib; 0 sorries. Co-authored-by: Axel Delaval <axel.delaval@gmail.com> Co-authored-by: Spring-1211 <liuchunlei@pku.edu.cn>
Contributor
Author
|
Closing per milestone #1 workflow: PRs are cut by @LehengChen and reviewed by Axel / @JxChen24, then approved by @Spring-1211. This file (LinearODE, layer 0) will be re-cut through that flow. |
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
2 participants
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
Second brick of the Hopf–Rinow adoption (from
feat/hopf-rinow), kept minimal.What: adds
OpenGALib/Riemannian/Geodesic/LinearODE.lean— global existence on any compact interval for a linear ODEV'(t) = A(t) V(t)with continuous bounded coefficientA : ℝ → (E →L[ℝ] E). Mathlib's Picard–Lindelöf only gives local existence; this supplies the global statement as reusable infrastructure.Why now: a true leaf of the dependency cone — imports only Mathlib, zero coupling to the Riemannian modules, builds against
mainas-is.Verification:
lake build OpenGALib.Riemannian.Geodesic.LinearODEsucceeds; 0 sorries (baseline stays 3); picked up by the glob.Adopted from
feat/hopf-rinow; original authors credited via Co-authored-by.