Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	王克磊，武汉大学
Inviter:	彭发
Title:	Stable and finite Morse index solutions of Allen-Cahn equation
Language:	Chinese
Time & Venue:	2023.06.13 15:00-16:00 腾讯会议：783-249-741
Abstract:	The stability condition and finite Morse index condition play an important role in the classification of solutions to Allen-Cahn equation. Therefore, understanding stable and finite Morse index solutions is always a central topic in the study of Allen-Cahn equation. In this talk I will first briefly review some problems in this direction such as De Giorgi conjecture and stable De Giorgi conjecture. Then I will discuss some results on stable and finite Morse index solutions of Allen-Cahn equation, as well as some tools used in the proof of these results, in particular, the reverse Lyapunov-Schmidt reduction method.