Global solutions to the Porous medium equations on singular manifolds

Yuanzhen Shao

Global solutions to the Porous medium equations on singular manifolds

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1606.01233 v2 pith:32IYG3C5 submitted 2016-06-03 math.AP

Yuanzhen Shao This is my paper · ORCID

classification math.AP

keywords manifoldssolutionsequationsglobalmediumporoussingularitiesconsidered

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

read the original abstract

The main objective of the present work is to discuss the global existence and stability of solutions to the porous medium equations on Riemannian manifolds with singularities. Several different types of solutions are considered. Our proof is based on a Poincare inequality on function space defined on manifolds with singularities.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

The fractional porous medium equation on manifolds with conical singularities I
math.AP 2019-08 accept novelty 6.0 of 10

The paper proves short-time existence, uniqueness and maximal L^q-regularity for the fractional porous medium equation on manifolds with conical singularities, and gives the decay rate of solutions near the conical tips.

Pith tools