Dispersive Equations and Nonlinear Waves: Generalized Korteweg-de Vries, Nonlinear Schrödinger, Wave and Schrödinger Maps (Oberwolfach Seminars)

This scholarly work delves into the intricate realm of dispersive equations and nonlinear waves, offering profound insights into mathematical frameworks and theoretical advancements. Through the lens of generalized Korteweg-de Vries and nonlinear Schrödinger equations, the authors explore local existence of solutions, carefully analyzing the energy critical phenomena that arise in these contexts.

With contributions from esteemed mathematicians Herbert Koch, Daniel Tataru, and Monica Visan, the text serves as a comprehensive resource for researchers and advanced students alike. It presents a detailed discussion on wave and Schrödinger maps, shedding light on both the foundational theories and complex challenges associated with dispersive dynamics, ultimately fostering a deeper understanding of these pivotal equations in mathematical analysis.