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

• Datum: 2017
• Hauptverfasser: Litovchenko, V. A., Unguryan, G.M., Літовченко, В. А., Унгурян, Г. М.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
• Online Zugang: 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...