Well-posedness of boundary-value problems for multidimensional hyperbolic systems

• Дата: 2008
• Автори: Kmit, I. Ya., Ptashnik, B. I., Кміть, І. Я., Пташник, Б. Й.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2008
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3149
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

By the method of characteristics, we investigate the well-posedness of local (the Cauchy problem, mixed problems) and nonlocal (with nonseparable and integral boundary conditions) problems for some multidimensional almost linear first-order hyperbolic systems. Reducing these problems to the systems...