Cauchy problem with Riesz operator of fractional differentiation

• Дата: 2005
• Автори: Litovchenko, V. A., Літовченко, В. А.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2005
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3716
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

In the class of generalized functions of finite order, we establish the correct solvability of the Cauchy problem for a pseudodifferential equation whose symbols are homogeneous functions of order γ > 0. We prove a theorem on the localization property of a solution of this probl...