Соболев С. Л. Уравнения математической физики.
Москва : Наука, 1966.
444 с. Твёрдый переплёт, увеличенный формат.
Тираж: 40000 экз.
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Sobolev S. L. Equations of Mathematical Physics.
Moscow : Nauka, 1966. — 444 pp. — Hardcover, enlarged format.
Sergei Lvovich Sobolev (1908–1989) was an outstanding Soviet mathematician, academician of the USSR Academy of Sciences, one of the creators of the modern theory of partial differential equations and functional analysis. Founder of the famous school of mathematical physics, author of fundamental concepts — Sobolev spaces and the Sobolev kernel. His work had a tremendous influence on the development of mathematics, mechanics, and theoretical physics, as well as on applied problems (including the atomic project).
The book is a classic university course devoted to the fundamentals of the theory of equations of mathematical physics. The main focus is on the study of linear second-order partial differential equations (the wave equation, Laplace's equation, and the heat equation), which are considered the central objects of the discipline. The presentation is distinguished by rigor, clarity, and depth, combining general theory with specific solution methods. For decades, this edition served as the primary textbook for students in physics and mathematics and remains an important resource for mathematicians and physicists.