35 Years of Critical Nonlinear Analysis

Delve into a comprehensive lecture by Pierre Raphaël from the University of Cambridge, delivered at the Institut des Hautes Etudes Scientifiques (IHES). Explore 35 years of critical nonlinear analysis, covering topics from Raphaël's early career and awards to his groundbreaking work on exceptional solutions, minimal bubbles, and the Celebrity Theorem. Gain insights into the Resolution Program, dynamic classification, and constant profile wave equations. Examine singularity information, L2 critical problems, KDV analysis, and the collision of solitons. Investigate energy supercritical models, bubbles, and defocusing phenomena in this in-depth, 69-minute presentation that showcases Raphaël's significant contributions to the field of nonlinear analysis.

Introduction
Early career
Awards
PhD
Exceptional Solutions
Minimal Bubble
Celebrity Theorem
Proof ofCelebrity Theorem
Minimal Mass Theorem
Resolution Program
Dynamic Classification
Constant profile
Wave equation
Singularity information
This is a program
L2critical problem
KDV analysis
Collision of Solitons
Energy Supercritical Models
Energy Supercritical Bubble
Defocusing