Complete Solvability of the Cauchy Problem for Petrovskii Parabolic Equations in S-Type Spaces

• Дата: 2002
• Автори: Litovchenko, V. A., Літовченко, В. А.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2002
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4185
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish the correct solvability (in both directions) of the Cauchy problem for Petrovskii parabolic equations with time-dependent coefficients in S-type spaces. We also prove that a solution of this problem stabilizes to zero in the sense of the topology of these spaces.