Sobolev estimates for non-uniformly parabolic PDEs

Research output: Contribution to journalArticlepeer-review


Sobolev energy estimates are proven for solutions of initial-value-problems for non-uniformly parabolic second-order PDEs having symmetric coefficients depending on the independent and dependent variables. Local-in-time existence of solutions to initial-value problems for such systems and convergence results for singular limits involving such systems are consequences of those uniform bounds.

Original languageEnglish
Article number13
JournalPartial Differential Equations and Applications
Issue number1
StatePublished - Feb 2022


  • Non-uniformly parabolic
  • Sobolev energy estimates
  • singular limit


Dive into the research topics of 'Sobolev estimates for non-uniformly parabolic PDEs'. Together they form a unique fingerprint.

Cite this