• Who is it for?

  
  

  Begining PhD students/Advanced Masters students




• Who will teach?

  
  

  • Kunnath Sandeep, TIFR CAM

  • Debabrata Karmakar, TIFR CAM

  • Ali Hyder, TIFR CAM

  • Karthik Adimurthi, TIFR CAM

  • Arka Mallick, IISc

  • Swarnendu Sil, IISc

• What is it about?

  
  

  Linear Second Order Uniformly Elliptic and Parabolic PDEs.

  We shall cover

  • Sobolev spaces and Sobolev spaces involving time

    approximation, extension, embeddings, traces

  • Properties of solutions

    Maximum principle, comparison principle,

    mean value formulas, Harnack inequality

  • Existence of weak solutions

    Lax-Milgram, Galerkin, Greens function, Heat kernel

  • Regularity of weak solutions

    $L^{2}$ and Schauder estimates

• How to apply?




You can apply by clicking here.




Please note that while food and accommodation will be provided for the

Outstation participants, but we are unable to provide any travel support.




• Where?

  
  

  LH-1, Department of Mathematics

  IISc Bangalore.

  
  

  How to reach IISc.

  How to reach Department of Mathematics.

This Advanved Instructional School is funded by National Center for Mathematics. Some more information about the AIS can be found on their website.