Fundamental solution of the Cauchy problem for the Shilov-type parabolic systems with coefficients of bounded smoothness

• Дата: 2017
• Автори: Litovchenko, V. A., Unguryan, G.M., Літовченко, В. А., Унгурян, Г. М.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2017
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1701
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Under the condition of minimal smoothness of the coefficients, we construct the fundamental solution of the Cauchy problem and study the principal properties of this solution for a special class of linear parabolic systems with bounded variable coefficients covering the class of Shilov-type paraboli...