{"product_id":"lectures-on-the-energy-critical-nonlinear-wave-equation","title":"Lectures on the Energy Critical Nonlinear Wave Equation","description":"This monograph deals with recent advances in the study of the long-time asymptotics of large solutions to critical nonlinear dispersive equations. The first part of the monograph describes, in the context of the energy critical wave equation, the ``concentration-compactness\/rigidity theorem method'' introduced by C. Kenig and F. Merle. This approach has become the canonical method for the study of the ``global regularity and well-posedness'' conjecture (defocusing case) and the ``ground-state'' conjecture (focusing case) in critical dispersive problems.\u003cbr\u003e\u003cbr\u003eThe second part of the monograph describes the ``channel of energy'' method, introduced by T. Duyckaerts, C. Kenig, and F. Merle, to study soliton resolution for nonlinear wave equations. This culminates in a presentation of the proof of the soliton resolution conjecture, for the three-dimensional radial focusing energy critical wave equation.\u003cbr\u003e\u003cbr\u003eIt is the intent that the results described in this book will be a model for what to strive for in the study of other nonlinear dispersive equations.","brand":"American Mathematical Society","offers":[{"title":"Default Title","offer_id":57186367865176,"sku":"9781470420147","price":58.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9781470420147.jpg?v=1780110946","url":"https:\/\/agendabookshop.com\/products\/lectures-on-the-energy-critical-nonlinear-wave-equation","provider":"Agenda Bookshop","version":"1.0","type":"link"}