On wave operators for the multidimensional electromagnetic Schrödinger operator in divergent form

• Дата: 2016
• Автори: Aliev, A. R., Eyvazov, E. H., Алиев, А. Р., Эйвазов, Э. Х.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2016
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1898
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We prove the existence of wave operators for the multidimensional electromagnetic Schr¨odinger operator in divergent form by the Cook method. Moreover, under certain conditions on the coefficients of the given operator, we establish the isometry of its wave operators and determine the initial domain...