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Functions of Noncommuting Operators in an Asymptotic Problem for a 2D Wave Equation with Variable Velocity and Localized Right-hand Sideстатья
- Авторы: Dobrokhotov Sergey, Minenkov Dmitrii, Nazaikinskii Vladimir, Brunello Tirozzi
- Сборник: Operator Theory, Pseudo-Differential Equations, and Mathematical Physics
- Серия: Operator Theory: Advances and Applications
- Том: 228
- Год издания: 2012
- Место издания: Birkhäuser Basel
- Первая страница: 95
- Последняя страница: 125
- DOI: 10.1007/978-3-0348-0537-7_6
- Аннотация: In the present paper, we use the theory of functions of noncommuting operators, also known as noncommutative analysis (which can be viewed as a far-reaching generalization of pseudodifferential operator calculus), to solve an asymptotic problem for a partial differential equation and show how, starting from general constructions and operator formulas that seem to be rather abstract from the viewpoint of differential equations, one can end up with very specific, easy-to-evaluate expressions for the solution, useful, e.g., in the tsunami wave problem.
- Добавил в систему: Миненков Дмитрий Сергеевич