2023 Wilmington NC USA

Asymptotic behaviour in nonlinear elliptic and parabolic problems

 Organizer(s):
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Affiliation:
Country:
Yoshitsugu Kabeya
Osaka Prefecture University
Japan
 
 Abstract:  
  Understanding the asymptotic properties of solutions to stationary and time dependent nonlinear PDEs often provides the key to finding the actual solutions and their properties, such as regularity, stability, front propagation. It is also fundamental in the numerical analysis of nonlinear PDEs. The aim of this special session is to bring to bring together a group of leading international experts on asymptotic behaviour in linear and nonlinear PDEs for an exchange of ideas and update on most recent advances in these areas which will foster new collaborations. Relevant topics from the linear theory will include Green`s functions and heat kernels estimates; maximum principles and regularity theory. The focus in nonlinear PDEs will be on elliptic and parabolic problems including equations on manifolds and problems with nonlocal interactions.

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