General elliptic boundary-value problems in Hörmander—Roitberg spaces

• Published in: Доповіді НАН України
• Date: 2018
• Main Authors: Gutlyanskii, V.Ya., Nesmelova, O.V., Ryazanov, V.I.
• Format: Article
• Language: English
• Published: Видавничий дім "Академперіодика" НАН України 2018
• Subjects: Математика
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/132635
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: General elliptic boundary-value problems in Hörmander—Roitberg spaces / V.Ya. Gutlyanskiĭ, O.V. Nesmelova, V.I. Ryazanov // Доповіді Національної академії наук України. — 2018. — № 2. — С. 12-18. — Бібліогр.: 15 назв. — англ.

We study semilinear partial differential equations in the plane, the linear part of which is written in a divergence form.
 The main result is given as a factorization theorem. This theorem states that every weak solution of such an equation
 can be represented as a composition of a...