Recent advances in regularity theory for local and nonlocal elliptic and parabolic equations

 Organizer(s):
Name:
Affiliation:
Country:
Sun-Sig Byun
Seoul National University
Korea
Jehan Oh
Kyungpook National University
Korea
Yeonghun Youn
Incheon National University
Korea
 Introduction:  
  There has been significant progress in the study of local and nonlocal problems in elliptic and parabolic equations. In the local setting, refined techniques have deepened classical regularity theory, while the nonlocal framework has led to sharp results for fractional and integro-differential models. This session will highlight recent advances in both directions, as well as in mixed local–nonlocal problems, emphasizing novel analytical methods and regularity phenomena that play a central role in modern partial differential equations and their applications.